ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
The Subtree Size Profile of Bucket Recursive Trees
1
11
EN
R.
Kazemi
Imam Khomeini International University
10.7508/ijmsi.2016.01.001
Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the $p$-th factorial moments of the random variable $S_{n,1}$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity.
Bucket recursive tree, Subtree size profile, Factorial moments.
http://ijmsi.ir/article-1-381-en.html
http://ijmsi.ir/article-1-381-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Tangent Bundle of the Hypersurfaces in a Euclidean Space
13
26
EN
S.
Deshmukh
King Saud University
shariefd@ksu.edu.sa
S. B.
Al-Shaikh
King Saud University
10.7508/ijmsi.2016.01.002
Let $M$ be an orientable hypersurface in the Euclidean space $R^{2n}$ with induced metric $g$ and $TM$ be its tangent bundle. It is known that the tangent bundle $TM$ has induced metric $overline{g}$ as submanifold of the Euclidean space $R^{4n}$ which is not a natural metric in the sense that the submersion $pi :(TM,overline{g})rightarrow (M,g)$ is
not the Riemannian submersion. In this paper, we use the fact that $R^{4n}$ is the tangent bundle of the Euclidean space $R^{2n}$ to define a special complex structure $overline{J}$ on the tangent bundle $R^{4n}$ so that $% (R^{4n},overline{J}$,$leftlangle ,rightrangle )$ is a Kaehler manifold, where $leftlangle ,rightrangle $ is the Euclidean metric which is also the Sasaki metric of the tangent bundle $R^{4n}$. We study the structure induced on the tangent bundle $(TM,overline{g})$ of the hypersurface $M$, which is a submanifold of the Kaehler manifold $(R^{4n},overline{J}$,$%
leftlangle ,rightrangle )$. We show that the tangent bundle $TM$ is a CR-submanifold of the Kaehler manifold $(R^{4n},overline{J}$,$leftlangle ,rightrangle )$. We find conditions under which certain special vector fields on the tangent bundle $(TM,overline{g})$ are Killing vector fields. It is also shown that the tangent bundle $TS^{2n-1}$ of the unit sphere $% S^{2n-1}$ admits a Riemannian metric $overline{g}$ and that there exists a nontrivial Killing vector field on the tangent bundle $(TS^{2n-1},% overline{g})$.
Tangent bundle, Hypersurface, Kaehler manifold, Almost contact structure, Killing vector field, CR-Submanifold, Second fundamental form, Wiengarten map.
http://ijmsi.ir/article-1-430-en.html
http://ijmsi.ir/article-1-430-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Double Integral Characterization for Bergman Spaces
27
34
EN
M.
Hassanlou
University of Tabriz
m_hasanloo@tabrizu.ac.ir
H.
Vaezi
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
hvaezi@tabrizu.ac.ir
10.7508/ijmsi.2016.01.003
In this paper we characterize Bergman spaces with respect to double integral of the functions $|f(z) -f(w)|/|z-w|$, $|f(z) -f(w)|/rho(z,w)$ and $|f(z) -f(w)|/beta(z,w)$, where $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metrics. We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces.
Bergman spaces, Pseudo-hyperbolic metric, Hyperbolic metric, Double integral.
http://ijmsi.ir/article-1-451-en.html
http://ijmsi.ir/article-1-451-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Convergence of an Approach for Solving Fredholm Functional Integral Equations
35
46
EN
N.
Aghazadeh
Azarbaijan Shahid Madani University
aghazadeh@iust.ac.ir
S.
Fathi
Azarbaijan Shahid Madani University
10.7508/ijmsi.2016.01.004
In this work, we give a product Nyström method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method.
Functional integral equation, Fredholm, Product Nyström method, Lagrange interpolation, Convergence.
http://ijmsi.ir/article-1-462-en.html
http://ijmsi.ir/article-1-462-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
The Representations and Positive Type Functions of Some Homogenous Spaces
47
56
EN
R.
Raisi Tousi
Ferdowsi University Of Mashhad
raisi@.um.ac.ir
F.
Esmaeelzadeh
Bojnourd Branch, Islamic Azad University
esmaeelzadeh@bojnourdiau.ac.ir
R. A.
Kamyabi Gol
Ferdowsi University Of Mashhad
kamyabi@.um.ac.ir
10.7508/ijmsi.2016.01.005
For a homogeneous spaces $G/H$, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of $G$. Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of $G/H$. We propose a relation between cyclic representations of $L^1(G/H)$ and positive type functions on $G/H$. We prove that the Gelfand Raikov theorem for $G/H$ holds if and only if $H$ is normal.
Homogenous space, Semidirect product, Convolution, Involution, Representation, Irreducible representation.
http://ijmsi.ir/article-1-482-en.html
http://ijmsi.ir/article-1-482-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Stability of $g$-Frame Expansions
57
67
EN
A.
Abdollahi
Shiraz University
abdollahi@shirazu.ac.ir
E.
Rahimi
DepaShiraz Branch, Islamic Azad University
rahimie@shirazu.ac.ir
10.7508/ijmsi.2016.01.006
In this paper we investigate the stability of one-sided perturbation to g-frame expansions. We show that if $Lambda$ is a g-frame of a Hilbert space $mathcal{H}$, $Lambda_{i}^{a}=Lambda_{i}+Theta_{i}$ where $Theta_{i} in mathcal{L}(mathcal{H},mathcal{H}_{i})$, and $widetilde{f}=sum_{i in J}Lambda_{i}^{star}widetilde{Lambda}_{i}^{a}f$, $widehat{f}=sum_{i in J}(Lambda_{i}^{a})^{star}widetilde{Lambda_{i}}f$, then $|widehat{f}-f|leq alpha |f|$ and $|f-widetilde{f}|leq beta |f|$ for some $alpha$ and $beta$.
g-Frames, g-Riesz bases, g-Orthonormal bases, Dual g-frames.
http://ijmsi.ir/article-1-587-en.html
http://ijmsi.ir/article-1-587-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings
69
83
EN
H. R.
Sahebi
DepartmenScience and Research Branch, Islamic Azad University
sahebi@mail.aiau.ac.ir
A.
Razani
DepartmentScience and Research Branch, Islamic Azad University
razani@ipm.ir
10.7508/ijmsi.2016.01.007
We suggest an explicit viscosity iterative algorithm for finding a common element in the set of solutions of the general equilibrium problem system (GEPS) and the set of all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space.
General equilibrium problems, Strongly positive linear bounded operator, α−Inverse strongly monotone mapping, Fixed point, Hilbert space.
http://ijmsi.ir/article-1-588-en.html
http://ijmsi.ir/article-1-588-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
On $(α, β)$−Linear Connectivity
85
100
EN
F.
Ayatollah Zadeh Shirazi
Faculty of Mathematics, Statistics and Computer Science, ColUniversity of Tehran
fatemah@khayam.ut.ac.ir
A.
Hosseini
Farhangian University (Pardis Nasibe-Shahid Sherafat branch)
a_hosseini@guilan.ac.ir
10.7508/ijmsi.2016.01.008
In this paper we introduce $(alpha,beta)-$linear connected spaces for nonzero cardinal numbers $alpha$ and $beta$. We show that $(alpha,beta)-$linear connectivity approach is a tool to classify the class of all linear connected spaces.
α−Arc, (α, β)−Linear connection degree, (α, β)−Linear connectivity, Arc, β−Separated family, Linear connected, Path, Path connected.
http://ijmsi.ir/article-1-597-en.html
http://ijmsi.ir/article-1-597-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
101
113
EN
S.
Kumar Mohanta
Department of Mathematics,West Bengal State University
smwbes@yahoo.in
10.7508/ijmsi.2016.01.009
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
b-Metric space, Scalarization function, Point of coincidence, Common fixed point.
http://ijmsi.ir/article-1-620-en.html
http://ijmsi.ir/article-1-620-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
On Harmonic Index and Diameter of Unicyclic Graphs
115
122
EN
J.
Amalorpava Jerline
Holy Cross College
jermaths@gmail.com
L.
Benedict Michaelraj
Joseph’s College
10.7508/ijmsi.2016.01.010
The Harmonic index $ H(G) $ of a graph $ G $ is defined as the sum of the weights $ dfrac{2}{d(u)+d(v)} $ of all edges $ uv $ of $G$, where $d(u)$ denotes the degree of the vertex $u$ in $G$. In this work, we prove the conjecture $dfrac{H(G)}{D(G)} geq dfrac{1}{2}+dfrac{1}{3(n-1)} $ given by Jianxi Liu in 2013 when G is a unicyclic graph and give a better bound $ dfrac{H(G)}{D(G)}geq dfrac{1}{2}+dfrac{2}{3(n-2)}$, where $n$ is the order and $D(G)$ is the diameter of the graph $G$.
Harmonic index, Diameter, Unicyclic graph.
http://ijmsi.ir/article-1-645-en.html
http://ijmsi.ir/article-1-645-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
123
136
EN
M.
Demma
Universit`a degli Studi di Palermo
R.
Saadati
Iran University of Science and Technology
rsaadati@eml.cc
P.
Vetro
Universit`a degli Studi di Palermo
10.7508/ijmsi.2016.01.011
In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say $mathcal{Z}$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and generalize their results on a $b$-metric context, by giving a new notion of $b$-simulation function. Then, we prove and discuss some fixed point results in relation with existing ones.
$b$-Metric space, Partial order, Nonlinear contraction, Fixed point, $b$-Simulation function.
http://ijmsi.ir/article-1-684-en.html
http://ijmsi.ir/article-1-684-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
137
143
EN
M.
Tavakoli
Ferdowsi University of Mashhad
M.tavakoly@Alumni.ut.ac.ir
F.
Rahbarnia
Ferdowsi University of Mashhad
rahbarnia@um.ac.ir
A. R
Ashrafi
University of Kashan
ashrafi@kashanu.ac.ir
Let $G$ be a connected graph on $n$ vertices. $G$ is called tricyclic if it has $n + 2$ edges, and tetracyclic if $G$ has exactly $n + 3$ edges. Suppose $mathcal{C}_n$ and $mathcal{D}_n$ denote the set of all tricyclic and tetracyclic $n-$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in $mathcal{C}_n$ and $mathcal{D}_n$.
Tricyclic graph, Tetracyclic graph, Eccentric connectivity index
http://ijmsi.ir/article-1-891-en.html
http://ijmsi.ir/article-1-891-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
1
2016
4
1
ABSTRACTS IN PERSIAN - Vol. 11, No. 1
145
157
EN
Name of Authors
In This Volume
Tarbiat Modares University, Jahade Daneshgahi
fatemh.bardestani@gmail.com
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 11, No. 1
http://ijmsi.ir/article-1-898-en.html
http://ijmsi.ir/article-1-898-en.pdf