2019-07-19T00:25:51+04:30
http://ijmsi.ir/browse.php?mag_id=25&slc_lang=en&sid=1
25-924
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
On (Semi-) Edge-primality of Graphs
W.-C.
Shiu
wcshiu@hkbu.edu.hk
G.-C.
Lau
geeclau@yahoo.com
S.-M.
Lee
sinminlee@gmail.com
Let $G= (V,E)$ be a $(p,q)$-graph. A bijection $f: Eto{1,2,3,ldots,q }$ is called an edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ where $f^+(u) = sum_{uwin E} f(uw)$. Moreover, a bijection $f: Eto{1,2,3,ldots,q }$ is called a semi-edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ or $f^+(u)=f^+(v)$. A graph that admits an edge-prime (or a semi-edge-prime) labeling is called an edge-prime (or a semi-edge-prime) graph. In this paper we determine the necessary and/or sufficient condition for the existence of (semi-) edge-primality of many family of graphs.
Prime labeling
Edge-prime labeling
Semi-Edge-prime labeling
Bipartite graphs
Tripartite graphs.
2017
9
01
1
14
http://ijmsi.ir/article-1-924-en.pdf
10.7508/ijmsi.2017.2.001
25-653
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
Z.
Parsaeitabar
parsaee.z@gmail.com
A. R.
Nazemi
nazemi20042003@yahoo.com
In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first linearize the equation using quasilinearization technique and the resulting problem is solved by a third degree B-spline function. Some numerical examples are included to demonstrate the feasibility and the efficiency of the proposed technique. The method is easy to implement and produces accurate results. The numerical results are also found to be in good agreement with the exact solutions.
B-spline
Collocation method
Lane--Emden equation
Singular IVPs.
2017
9
01
15
34
http://ijmsi.ir/article-1-653-en.pdf
10.7508/ijmsi.2017.2.002
25-685
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Ordered Krasner Hyperrings
S.
Omidi
omidi.saber@yahoo.com
B.
Davvaz
davvaz@yazd.ac.ir
In this paper we introduce the concept of Krasner hyperring $(R,+,cdot)$together with a suitable partial order relation $le $.xle y$. Also we consider some Krasner hyperrings and define a binary relation on them such that to become ordered Krasner hyperrings. By using the notion of pseudoorder on an ordered Krasner hyperring $(R,+,cdot,le)$, we obtain an ordered ring. Moreover, we study some properties of ordered Krasner hyperrings.
Algebraic hyperstructure
Ordered ring
Ordered Krasner hyperring
Strongly regular relation
Pseudoorder.
2017
9
01
35
49
http://ijmsi.ir/article-1-685-en.pdf
10.7508/ijmsi.2017.2.003
25-661
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
A Numerical Method For Solving Ricatti Differential Equations
M.
Masjed-Jamei
mmjamei@kntu.ac.ir
A. H.
Salehi Shayegan
ah.salehi@mail.kntu.ac.ir
By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.
Riccati differential equations
Adams-Bashforth rules
Weighting factor
Nonlinear differential equations
Stirling numbers.
2017
9
01
51
71
http://ijmsi.ir/article-1-661-en.pdf
10.7508/ijmsi.2017.2.004
25-666
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms
M.
Alimohammady
amohsen@umz.ac.ir
M.
Ramazannejad
m.ramzannezhad@gmail.com
Z.
Bagheri
R. J.
Shahkoohi
In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monotone operators.
Maximal monotone operator
Equilibrium problem
Variational inequality.
2017
9
01
73
99
http://ijmsi.ir/article-1-666-en.pdf
10.7508/ijmsi.2017.2.005
25-690
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
On the $s^{th}$ Derivative of a Polynomial-II
A.
Mir
mabdullah_mir@yahoo.co.in
Q.M.
Dawood
B.
Dar
darbilal85@ymail.com
The paper presents an $L^{r}-$ analogue of an inequality regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle of arbitrary radius but greater or equal to one. Our result provides improvements and generalizations of some well-known polynomial inequalities.
Polynomial
Zeros
$s^{th}$ derivative
2017
9
01
101
109
http://ijmsi.ir/article-1-690-en.pdf
10.7508/ijmsi.2017.2.006
25-739
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Sufficient Inequalities for Univalent Functions
R.
Kargar
rkargar1983@gmail.com
A.
Ebadian
ebadian.ali@gmail.com
J.
Sokol
jsokol@prz.edu.pl
In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
Analytic
Univalent
Starlike functions
Convex functions
2017
9
01
111
116
http://ijmsi.ir/article-1-739-en.pdf
10.7508/ijmsi.2017.2.007
25-827
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
D.
Ayaseh
d_ayaseh@tabrizu.ac.ir
A.
Ranjbari
ranjbari@tabrizu.ac.ir
In this paper, we define the almost uniform convergence and
the almost everywhere convergence for cone-valued functions with respect
to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R
is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone
and (Q, W) is a locally convex complete lattice cone.
Locally convex cones
Egoroff Theorem
Operator valued measure.
2017
9
01
117
125
http://ijmsi.ir/article-1-827-en.pdf
10.7508/ijmsi.2017.2.008
25-697
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Order Almost Dunford-Pettis Operators on Banach Lattices
H.
Ardakani
halimeh_ardakani@yahoo.com
S. M. S.
Modarres Mosadegh
smodarres@yazd.ac.ir
By introducing the concepts of order almost Dunford-Pettis and almost weakly limited operators in Banach lattices, we give some properties of them related to some well known classes of operators, such as, order weakly compact, order Dunford-Pettis, weak and almost Dunford- Pettis and weakly limited operators. Then, we characterize Banach lat- tices E and F on which each operator from E into F that is order almost Dunford-Pettis and weak almost Dunford-Pettis is an almost weakly lim- ited operator.
Order Dunford-Pettis operator
Weakly limited operator
Almost Dunford-Pettis set.
2017
9
01
127
139
http://ijmsi.ir/article-1-697-en.pdf
10.7508/ijmsi.2017.2.009
25-845
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
Left Annihilator of Identities Involving Generalized Derivations in Prime Rings
B.
Dhara
basu_dhara@yahoo.com
K.G.
Pradhan
kgp.math@gmail.com
Sh.K.
Tiwari
shaileshiitd84@gmail.com
Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate}
item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=mp x$ for all $x in R$; item char $(R)=2$ and $R$ satisfies $s_4$;item char $(R) neq 2$, $R$ satisfies $s_4$ and there exists $bin U$ such that $F(x)=bx$ for all $x in R$.
Prime ring
Generalized derivation
Utumi quotient ring.
2017
9
01
141
153
http://ijmsi.ir/article-1-845-en.pdf
10.7508/ijmsi.2017.2.010
25-1226
2019-07-19
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2017
12
2
ABSTRACTS IN PERSIAN Vol.12, No.2
Name of Authors In This Volume
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS
PERSIAN
Vol. 12
No. 2
2017
9
01
155
165
http://ijmsi.ir/article-1-1226-en.pdf