ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Generalized Frames for B(H, K)
1
9
EN
M.
Rossafi
LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, Morocco
rossafimohamed@gmail.com
Y
S.
Kabbaj
Laboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco
samkabbaj@yahoo.fr
N
10.52547/ijmsi.17.1.1
Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.
Frame, K-operator frame, C^*-algebra, Hilbert C^*-modules.
http://ijmsi.ir/article-1-1315-en.html
http://ijmsi.ir/article-1-1315-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Diophantine Equations Related with Linear Binary Recurrences
11
26
EN
I.
Akkus
Department of Mathematics, Faculty of Arts and Science, Kırıkkale University, TR-71450 Kırıkkale, Turkey
iakkus.tr@gmail.com
Y
E.
Kilic
Department of Mathematics, TOBB University of Economics and Technology, TR-06560 Ankara, Turkey
ekilic@etu.edu.tr
N
N.
Omur
Department of Mathematics, Faculty of Arts and Science, Kocaeli University, TR-41380 Kocaeli, Turkey
neseomur@kocaeli.edu.tr
N
10.52547/ijmsi.17.1.11
In this paper we find all solutions of four kinds of the Diophantine equations
begin{equation*}
~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0,
end{equation*}%
for an odd number $t$, and,
begin{equation*}
~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0,
end{equation*}%
for an even number $t$, where $V_{n}$ is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.
Linear recurrences, Generalized Fibonacci and Lucas sequences, Diophantine equations, Continued fractions.
http://ijmsi.ir/article-1-1319-en.html
http://ijmsi.ir/article-1-1319-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces
27
46
EN
A.
Abkar
Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
norouzian.m67@gmail.com
N
M.
Norouzian
Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
abkar@sci.ikiu.ac.ir
Y
10.52547/ijmsi.17.1.27
We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al cite{Gabeleh}. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated.
Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space.
http://ijmsi.ir/article-1-1333-en.html
http://ijmsi.ir/article-1-1333-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Distributive Lattices of λ-simple Semirings
47
55
EN
T.
Mondal
Department of Mathematics Dr. Bhupendra Nath Duta Smriti Mahavidyalaya, Hatgobindapur, Burdwan - 713407, West Bengal, India
tapumondal@gmail.com
Y
10.52547/ijmsi.17.1.47
In this paper, we study the decomposition of semirings with a semilattice additive reduct. For, we introduce the notion of principal left $k$-radicals $Lambda(a)={x in S | a stackrel{l}{longrightarrow^{infty}} x}$ induced by the transitive closure $stackrel{l}{longrightarrow^{infty}}$ of the relation $stackrel{l}{longrightarrow}$ which induce the equivalence relation $lambda$. Again non-transitivity of $stackrel{l}{longrightarrow}$ yields an expanding family {$stackrel{l}{longrightarrow^n}}$ of binary relations which associate subsets $Lambda_n(a)$ for all $a in S$, which again induces an equivalence relation $lambda_n$. We also define $lambda(lambda_n)$-simple semirings, and characterize the semirings which are distributive lattices of $lambda(lambda_n)$-simple semirings.
Principal left k-radical, Distributive lattice congruence, Completely semiprime k-ideal, λ-simple semiring, Distributive lattice decomposition
http://ijmsi.ir/article-1-1320-en.html
http://ijmsi.ir/article-1-1320-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded
57
70
EN
S.
Erden
Department of Mathematics, Faculty of Science, Bartın University, Bartın-Turkey
erdensmt@gmail.com
Y
10.52547/ijmsi.17.1.57
We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally,
some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.
Function of bounded variation, Perturbed Ostrowski type inequalities.
http://ijmsi.ir/article-1-1332-en.html
http://ijmsi.ir/article-1-1332-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
On the WZ Factorization of the Real and Integer Matrices
71
83
EN
E.
Golpar-Raboky
Department of Mathematics, University of Qom, Qom, Iran
g.raboky@qom.ac.ir
Y
E.
Babolian
Department of Computer Science, Kharazmi University, Tehran, Iran
babolian@khu.ac.ir
N
10.52547/ijmsi.17.1.71
The textit{QIF} (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ} factorization. The WZ factorization can be faster than the textit{LU} factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer textit{WZ} and textit{ZW} factorizations by using the null space generators of some special nested submatrices of a matrix textit{A}.
Linear systems, Quadrant interlocking factorization, WZ factorization, ZW factorization, Null space generator.
http://ijmsi.ir/article-1-1358-en.html
http://ijmsi.ir/article-1-1358-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on
Time Scales
85
97
EN
S. O.
Shah
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
omarshah89@yahoo.com
Y
A.
Zada
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
zadababo@yahoo.com
N
10.52547/ijmsi.17.1.85
This manuscript presents Hyers-Ulam stability and Hyers--Ulam--Rassias stability results of non-linear Volterra integro--delay dynamic system on time scales with fractional integrable impulses. Picard fixed point theorem is used for obtaining existence and uniqueness of solutions. By means of abstract Gr"{o}nwall lemma, Gr"{o}nwall's inequality on time scales, we establish Hyers-Ulam stability and Hyers-Ulam-Rassias stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results.
Hyers-Ulam stability, Time scale, Impulses, Delay dynamic system, Gr"{o}nwall's inequality, Abstract Gr"{o}nwall lemma, Banach fixed point theorem.
http://ijmsi.ir/article-1-1335-en.html
http://ijmsi.ir/article-1-1335-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
A Functional Characterization of the Hurewicz Property
99
109
EN
A.
Osipov
Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, Russia
oab@list.ru
Y
10.52547/ijmsi.17.1.99
For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence. We study a functional characterization of the covering property of Hurewicz.
$U_{fin}(mathcal{O},Omega)$, Hurewicz property, Selection principles, $C_p$ theory, $U_{fin}(mathcal{O}, Gamma)$.
http://ijmsi.ir/article-1-1337-en.html
http://ijmsi.ir/article-1-1337-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
On Bernstein Type Inequalities for Complex Polynomial
111
123
EN
M.
Bidkham
Department of Mathematics, University of Semnan, Semnan, Iran
mdbidkham@gmail.com
Y
E.
KhojastehnezadZHAD
Department of Mathematics, University of Semnan, Semnan, Iran
khojastehnejadelahe@gmail.com
N
10.52547/ijmsi.17.1.111
In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.
Inequality, Polynomial, Derivative, Maximum modulus, Restricted zeros.
http://ijmsi.ir/article-1-1389-en.html
http://ijmsi.ir/article-1-1389-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
New Large (n, r)-arcs in PG(2, q)
125
133
EN
R.
Daskalov
Department of Mathematics and Informatics, Technical University of Gabrovo, Bulgaria
daskalovrn@gmail.com
Y
10.52547/ijmsi.17.1.125
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in $PG(2, q)$ is denoted by $m_r(2,q)$. In this paper we present a new $(184,12)$-arc in PG$(2,17),$ a new $(244,14)$-arc and a new $(267,15$)-arc in $PG(2,19).$
Finite projective plane, $(n,r)$-arc in a projective plane, $(l,t)$-blocking set in a projective plane, Maximum size of an $(n,r)$-arc, Linear codes.
http://ijmsi.ir/article-1-1360-en.html
http://ijmsi.ir/article-1-1360-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations
135
144
EN
A.
Hamoud
Department of Mathematics, Taiz University, Taiz, Yemen
drahmed985@yahoo.com
Y
K.
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India
drkpghadle1974@gmail.com
N
10.52547/ijmsi.17.1.135
This paper establishes a study on some important latest innovations in the uniqueness of solution for Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses Banach contraction principle and Bihari's inequality. A wider applicability of these techniques are based on their reliability and reduction in the size of the mathematical work.
Caputo fractional derivative, Volterra-Fredholm integro-differential equation, Banach contraction principle, Bihari’s inequality.
http://ijmsi.ir/article-1-1366-en.html
http://ijmsi.ir/article-1-1366-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Groups whose Bipartite Divisor Graph for Character Degrees Has Five Vertices
145
151
EN
S. A.
Moosavi
Faculty of Basic Science, University of Qom, Qom, Iran
s.a.mousavi@qom.ac.ir
Y
10.52547/ijmsi.17.1.145
Let $G$ be a finite group and $cd^*(G)$ be the set of nonlinear irreducible character degrees of $G$. Suppose that $rho(G)$ denotes the set of primes dividing some element of $cd^*(G)$. The bipartite divisor graph for the set of character degrees which is denoted by $B(G)$, is a bipartite graph whose vertices are the disjoint union of $rho(G)$ and $cd^*(G)$, and a vertex $p in rho(G)$ is connected to a vertex $a in cd^*(G)$ if and only if $p|a$. In this paper, we investigate the structure of a group $G$ whose graph $B(G)$ has five vertices. Especially we show that all these groups are solvable.
Bipartite divisor graph, Character degree, Solvable group.
http://ijmsi.ir/article-1-1390-en.html
http://ijmsi.ir/article-1-1390-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
On the Volume of µ-way G-trade
153
163
EN
N.
Soltankhah
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
soltan@alzahra.ac.ir
Y
N. Kh.
Khademian
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
ir.khademian@gmail.com
N
10.52547/ijmsi.17.1.153
A $ mu $-way $ G $-trade ($ mu geq 2) $ consists of $ mu $ disjoint decompositions of some simple (underlying) graph $ H $ into copies of a graph $ G. $ The number of copies of the graph $ G $ in each of the decompositions is the volume of the $ G $-trade and denoted by $ s. $ In this paper, we determine all values $ s $ for which there exists a $ mu $-way $ K_{1,m} $-trade of volume $ s $ for underlying graph $ H=K_{2m,2m} $ and $ H=K_{2m} $.
Trade, $ G $-trade, $ mu $-way $ G $-trade ,Trade spectrum.
http://ijmsi.ir/article-1-1740-en.html
http://ijmsi.ir/article-1-1740-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space
165
176
EN
B.
Senoussi
Department of Mathematics, Ecole Normale Sup´erieure, Mostaganem, Algeria
se2014bendhiba@gmail.com
Y
M.
Bekkar
Department of Mathematics, Faculty of Sciences, University of Oran, Algeria
bekkar_99@yahoo.fr
N
10.52547/ijmsi.17.1.165
In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third
fundamental form $III$ on the surface.
Surfaces of coordinate finite type, Translation surfaces, Laplace operator.
http://ijmsi.ir/article-1-1400-en.html
http://ijmsi.ir/article-1-1400-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
n-submodules
177
190
EN
M.
Ahmadi
Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
maryam_ahmadi2662@yahoo.com
N
J.
Moghaderi
Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
j.moghaderi@hormozgan.ac.ir
Y
10.52547/ijmsi.17.1.177
Let $R$ be a commutative ring with identity. A proper submodule $N$ of an $R$-module $M$ is an n-submodule if $rmin N~(rin R, min M)$ with $rnotinsqrt{Ann_R(M)}$, then $min N$. A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.
n-ideal, n-submodule.
http://ijmsi.ir/article-1-1393-en.html
http://ijmsi.ir/article-1-1393-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions
191
206
EN
I.
Baglan
Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
isakinc@kocaeli.edu.tr
N
F.
Kanca
Department of Computer Engineering, Fenerbahce University, Istanbul, Turkey
fatma.kanca@fbu.edu.tr
N
V.
Mishra
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
vishnunarayanmishra@gmail.com
Y
10.52547/ijmsi.17.1.191
In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.
Inverse Coefficient Problem, Periodic boundary condition, Euler Bernoulli equation, Fourier method.
http://ijmsi.ir/article-1-1401-en.html
http://ijmsi.ir/article-1-1401-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Bi-concave Functions Defined by Al-Oboudi Differential Operator
207
217
EN
Ş.
Altinkaya
Department of Mathematics, Beykent University, 34500, Istanbul, Turkey
sahsenealtinkaya@gmail.com
Y
10.52547/ijmsi.17.1.207
The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi
differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.
Bi-concave functions, Al-Oboudi differential operator, Coefficient estimates.
http://ijmsi.ir/article-1-1408-en.html
http://ijmsi.ir/article-1-1408-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Spaceability on Morrey Spaces
219
225
EN
Y.
Sawano
Department of Mathematics, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan
yoshihiro-sawano@celery.ocn.ne.jp
N
S. M.
Tabatabaie
Department of Mathematics, University of Qom, Qom, Iran
sm.tabatabaie@qom.ac.ir
Y
10.52547/ijmsi.17.1.219
In this paper, as a main result for Morrey spaces, we prove that the set $mathcal M_q^p(mathbb R^n)backslashbigcup_{q<rleq p}mathcal M_r^p(mathbb R^n)$ is spaceable in $mathcal M_q^p(mathbb R^n)$, where $0<q<p<infty$.}
Spaceability, Morrey spaces, Banach spaces.
http://ijmsi.ir/article-1-1399-en.html
http://ijmsi.ir/article-1-1399-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles
227
237
EN
M.
Crasmareanu
Faculty of Mathematics, University "Al. I. Cuza", Iasi, 700506, Romania
mcrasm@uaic.ro
Y
10.52547/ijmsi.17.1.227
This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given products are proposed.
Circle, Quaternion, Product, Octonion, Projective Geometry.
http://ijmsi.ir/article-1-1418-en.html
http://ijmsi.ir/article-1-1418-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
17
1
2022
4
1
Modified Wavelet Method for Solving Two-dimensional Coupled System of Evolution Equations
239
259
EN
I.
Singh
Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India
inderdeeps.ma.12@gmail.com
Y
Sh.
Kumar
Department of Mathematics, Dr. B.R.Ambedkar National Institute of Technology, Jalandhar-144011, Punjab, India
sheoks53@gmail.com
N
10.52547/ijmsi.17.1.239
As two-dimensional coupled system of nonlinear partial differential equations does not give enough smooth solutions, when approximated by linear, quadratic and cubic polynomials and gives poor convergence or no convergence. In such cases, approximation by zero degree polynomials like Haar wavelets (continuous functions with finite jumps) are most suitable and reliable. Therefore, modified numerical method based on Taylor series expansion and Haar wavelets is presented for solving coupled system of nonlinear partial differential equations. Efficiency and accuracy of the proposed method is depicted by comparing with classical methods.
Haar wavelet, Taylor series, Collocation points, Nonlinear coupled evolution equations, Operational matrices.
http://ijmsi.ir/article-1-1413-en.html
http://ijmsi.ir/article-1-1413-en.pdf