2019-10-15T10:26:30+03:30
http://ijmsi.ir/browse.php?mag_id=21&slc_lang=en&sid=1
21-381
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
The Subtree Size Profile of Bucket Recursive Trees
R.
Kazemi
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.
2016
4
01
1
11
http://ijmsi.ir/article-1-381-en.pdf
10.7508/ijmsi.2016.01.001
21-430
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Tangent Bundle of the Hypersurfaces in a Euclidean Space
S.
Deshmukh
shariefd@ksu.edu.sa
S. B.
Al-Shaikh
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.
2016
4
01
13
26
http://ijmsi.ir/article-1-430-en.pdf
10.7508/ijmsi.2016.01.002
21-451
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Double Integral Characterization for Bergman Spaces
M.
Hassanlou
m_hasanloo@tabrizu.ac.ir
H.
Vaezi
hvaezi@tabrizu.ac.ir
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.
2016
4
01
27
34
http://ijmsi.ir/article-1-451-en.pdf
10.7508/ijmsi.2016.01.003
21-462
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Convergence of an Approach for Solving Fredholm Functional Integral Equations
N.
Aghazadeh
aghazadeh@iust.ac.ir
S.
Fathi
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.
2016
4
01
35
46
http://ijmsi.ir/article-1-462-en.pdf
10.7508/ijmsi.2016.01.004
21-482
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
The Representations and Positive Type Functions of Some Homogenous Spaces
R.
Raisi Tousi
raisi@.um.ac.ir
F.
Esmaeelzadeh
esmaeelzadeh@bojnourdiau.ac.ir
R. A.
Kamyabi Gol
kamyabi@.um.ac.ir
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.
2016
4
01
47
56
http://ijmsi.ir/article-1-482-en.pdf
10.7508/ijmsi.2016.01.005
21-587
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Stability of $g$-Frame Expansions
A.
Abdollahi
abdollahi@shirazu.ac.ir
E.
Rahimi
rahimie@shirazu.ac.ir
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.
2016
4
01
57
67
http://ijmsi.ir/article-1-587-en.pdf
10.7508/ijmsi.2016.01.006
21-588
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings
H. R.
Sahebi
sahebi@mail.aiau.ac.ir
A.
Razani
razani@ipm.ir
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.
2016
4
01
69
83
http://ijmsi.ir/article-1-588-en.pdf
10.7508/ijmsi.2016.01.007
21-597
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
On $(α, β)$−Linear Connectivity
F.
Ayatollah Zadeh Shirazi
fatemah@khayam.ut.ac.ir
A.
Hosseini
a_hosseini@guilan.ac.ir
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.
2016
4
01
85
100
http://ijmsi.ir/article-1-597-en.pdf
10.7508/ijmsi.2016.01.008
21-620
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
S.
Kumar Mohanta
smwbes@yahoo.in
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.
2016
4
01
101
113
http://ijmsi.ir/article-1-620-en.pdf
10.7508/ijmsi.2016.01.009
21-645
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
On Harmonic Index and Diameter of Unicyclic Graphs
J.
Amalorpava Jerline
jermaths@gmail.com
L.
Benedict Michaelraj
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.
2016
4
01
115
122
http://ijmsi.ir/article-1-645-en.pdf
10.7508/ijmsi.2016.01.010
21-684
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
M.
Demma
R.
Saadati
rsaadati@eml.cc
P.
Vetro
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.
2016
4
01
123
136
http://ijmsi.ir/article-1-684-en.pdf
10.7508/ijmsi.2016.01.011
21-891
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
M.
Tavakoli
M.tavakoly@Alumni.ut.ac.ir
F.
Rahbarnia
rahbarnia@um.ac.ir
A. R
Ashrafi
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
2016
4
01
137
143
http://ijmsi.ir/article-1-891-en.pdf
21-898
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
1
ABSTRACTS IN PERSIAN - Vol. 11, No. 1
Name of Authors
In This Volume
fatemh.bardestani@gmail.com
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS
PERSIAN
Vol. 11
No. 1
2016
4
01
145
157
http://ijmsi.ir/article-1-898-en.pdf