ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
The Subtree Size Profile of Bucket Recursive Trees
1
11
EN
R.
Kazemi
Imam Khomeini International University
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
Tangent Bundle of the Hypersurfaces in a Euclidean Space
13
26
EN
S.
Deshmukh
King Saud University
S. B.
Al-Shaikh
King Saud University
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 $(TS^{2n-1},% overline{g})$.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
Double Integral Characterization for Bergman Spaces
27
34
EN
M.
Hassanlou
University of Tabriz
H.
Vaezi
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
Convergence of an Approach for Solving Fredholm Functional Integral Equations
35
46
EN
N.
Aghazadeh
Azarbaijan Shahid Madani University
S.
Fathi
Azarbaijan Shahid Madani University
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
F.
Esmaeelzadeh
Bojnourd Branch, Islamic Azad University
R. A.
Kamyabi Gol
Ferdowsi University Of Mashhad
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
Stability of $g$-Frame Expansions
57
67
EN
A.
Abdollahi
Shiraz University
E.
Rahimi
DepaShiraz Branch, Islamic Azad University
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 $beta$.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
A.
Razani
DepartmentScience and Research Branch, Islamic Azad University
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
A.
Hosseini
Farhangian University (Pardis Nasibe-Shahid Sherafat branch)
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
On Harmonic Index and Diameter of Unicyclic Graphs
115
122
EN
J.
Amalorpava Jerline
Holy Cross College
L.
Benedict Michaelraj
Joseph’s College
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 $G$.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
P.
Vetro
Universit`a degli Studi di Palermo
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
11
1
2016
4
1
Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
137
143
EN
M.
Tavakoli
Ferdowsi University of Mashhad
F.
Rahbarnia
Ferdowsi University of Mashhad
A. R
Ashrafi
University of Kashan
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 $mathcal{D}_n$.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
Please see the full text contains the Pesian abstracts for this volume.