1
1735-4463
ACECR at Tarbiat Modares University
1315
General
Generalized Frames for B(H, K)
Rossafi
M.
^{
b
}
Kabbaj
S.
^{
c
}
^{
b
}LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, Morocco
^{
c
}Laboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco
1
4
2022
17
1
1
9
27
04
2018
15
08
2019
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 $B(mathcal{H})$.
1319
General
Diophantine Equations Related with Linear Binary Recurrences
Akkus
I.
^{
d
}
Kilic
E.
^{
e
}
Omur
N.
^{
f
}
^{
d
}Department of Mathematics, Faculty of Arts and Science, Kırıkkale University, TR-71450 Kırıkkale, Turkey
^{
e
}Department of Mathematics, TOBB University of Economics and Technology, TR-06560 Ankara, Turkey
^{
f
}Department of Mathematics, Faculty of Arts and Science, Kocaeli University, TR-41380 Kocaeli, Turkey
1
4
2022
17
1
11
26
07
05
2018
10
10
2019
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.
1333
General
Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces
Abkar
A.
^{
g
}
Norouzian
M.
^{
h
}
^{
g
}Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
^{
h
}Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
1
4
2022
17
1
27
46
22
05
2018
26
01
2019
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.
1320
General
Distributive Lattices of λ-simple Semirings
Mondal
T.
^{
i
}
^{
i
}Department of Mathematics Dr. Bhupendra Nath Duta Smriti Mahavidyalaya, Hatgobindapur, Burdwan - 713407, West Bengal, India
1
4
2022
17
1
47
55
07
05
2018
01
07
2019
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.
1332
General
Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded
Erden
S.
^{
j
}
^{
j
}Department of Mathematics, Faculty of Science, Bartın University, Bartın-Turkey
1
4
2022
17
1
57
70
22
05
2018
06
05
2019
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.
1358
Special
On the WZ Factorization of the Real and Integer Matrices
Golpar-Raboky
E.
^{
k
}
Babolian
E.
^{
l
}
^{
k
}Department of Mathematics, University of Qom, Qom, Iran
^{
l
}Department of Computer Science, Kharazmi University, Tehran, Iran
1
4
2022
17
1
71
83
07
07
2018
09
06
2019
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}.
1335
General
Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on
Time Scales
Shah
S. O.
^{
m
}
Zada
A.
^{
n
}
^{
m
}Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
^{
n
}Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
1
4
2022
17
1
85
97
31
05
2018
19
01
2019
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.
1337
Special
A Functional Characterization of the Hurewicz Property
Osipov
A.
^{
o
}
^{
o
}Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, Russia
1
4
2022
17
1
99
109
08
06
2018
12
07
2019
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.
1389
Special
On Bernstein Type Inequalities for Complex Polynomial
Bidkham
M.
^{
p
}
KhojastehnezadZHAD
E.
^{
}
^{
p
}Department of Mathematics, University of Semnan, Semnan, Iran
^{
}Department of Mathematics, University of Semnan, Semnan, Iran
1
4
2022
17
1
111
123
11
08
2018
19
08
2020
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.
1360
General
New Large (n, r)-arcs in PG(2, q)
Daskalov
R.
^{
}
^{
}Department of Mathematics and Informatics, Technical University of Gabrovo, Bulgaria
1
4
2022
17
1
125
133
11
07
2018
02
07
2019
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 $PG(2,19).$
1366
Special
Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations
Hamoud
A.
^{
}
Ghadle
K.
^{
}
^{
}Department of Mathematics, Taiz University, Taiz, Yemen
^{
}Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India
1
4
2022
17
1
135
144
12
07
2018
10
03
2019
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.
1390
General
Groups whose Bipartite Divisor Graph for Character Degrees Has Five Vertices
Moosavi
S. A.
^{
}
^{
}Faculty of Basic Science, University of Qom, Qom, Iran
1
4
2022
17
1
145
151
12
08
2018
12
07
2019
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.
1740
Special
On the Volume of µ-way G-trade
Soltankhah
N.
^{
}
Khademian
N. Kh.
^{
}
^{
}Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
^{
}Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
1
4
2022
17
1
153
163
02
10
2019
28
12
2020
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} $.
1400
General
Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space
Senoussi
B.
^{
}
Bekkar
M.
^{
}
^{
}Department of Mathematics, Ecole Normale Sup´erieure, Mostaganem, Algeria
^{
}Department of Mathematics, Faculty of Sciences, University of Oran, Algeria
1
4
2022
17
1
165
176
29
08
2018
22
06
2020
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.
1393
Special
n-submodules
Ahmadi
M.
^{
}
Moghaderi
J.
^{
}
^{
}Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
^{
}Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
1
4
2022
17
1
177
190
15
08
2018
07
11
2019
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.
1401
General
Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions
Baglan
I.
^{
}
Kanca
F.
^{
}
Mishra
V.
^{
}
^{
}Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
^{
}Department of Computer Engineering, Fenerbahce University, Istanbul, Turkey
^{
}Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
1
4
2022
17
1
191
206
30
08
2018
21
07
2019
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.
1408
General
Bi-concave Functions Defined by Al-Oboudi Differential Operator
Altinkaya
Ş.
^{
}
^{
}Department of Mathematics, Beykent University, 34500, Istanbul, Turkey
1
4
2022
17
1
207
217
15
09
2018
12
07
2019
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.
1399
Special
Spaceability on Morrey Spaces
Sawano
Y.
^{
}
Tabatabaie
S. M.
^{
}
^{
}Department of Mathematics, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan
^{
}Department of Mathematics, University of Qom, Qom, Iran
1
4
2022
17
1
219
225
29
08
2018
12
07
2019
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 $0<q<p<infty$.}
1418
General
Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles
Crasmareanu
M.
^{
}
^{
}Faculty of Mathematics, University "Al. I. Cuza", Iasi, 700506, Romania
1
4
2022
17
1
227
237
25
09
2018
27
03
2019
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.
1413
General
Modified Wavelet Method for Solving Two-dimensional Coupled System of Evolution Equations
Singh
I.
^{
}
Kumar
Sh.
^{
}
^{
}Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India
^{
}Department of Mathematics, Dr. B.R.Ambedkar National Institute of Technology, Jalandhar-144011, Punjab, India
1
4
2022
17
1
239
259
19
09
2018
06
01
2021
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.