en
jalali
1395
1
1
gregorian
2016
4
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11
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online
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fulltext
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The Subtree Size Profile of Bucket Recursive Trees
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.
1
11
http://ijmsi.ir/browse.php?a_code=A-10-414-1&slc_lang=en&sid=1
R.
Kazemi
Imam Khomeini International University
`0031947532846002941`

0031947532846002941
Yes
en
Tangent Bundle of the Hypersurfaces in a Euclidean Space
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.
13
26
http://ijmsi.ir/browse.php?a_code=A-10-469-1&slc_lang=en&sid=1
S.
Deshmukh
King Saud University
shariefd@ksu.edu.sa
`0031947532846002915`

0031947532846002915
Yes
S. B.
Al-Shaikh
King Saud University
`0031947532846002916`

0031947532846002916
No
en
Double Integral Characterization for Bergman Spaces
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.
27
34
http://ijmsi.ir/browse.php?a_code=A-10-167-1&slc_lang=en&sid=1
M.
Hassanlou
University of Tabriz
m_hasanloo@tabrizu.ac.ir
`0031947532846002875`

0031947532846002875
Yes
H.
Vaezi
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
hvaezi@tabrizu.ac.ir
`0031947532846002876`

0031947532846002876
No
en
Convergence of an Approach for Solving Fredholm Functional Integral Equations
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.
35
46
http://ijmsi.ir/browse.php?a_code=A-10-513-1&slc_lang=en&sid=1
N.
Aghazadeh
Azarbaijan Shahid Madani University
aghazadeh@iust.ac.ir
`0031947532846002877`

0031947532846002877
Yes
S.
Fathi
Azarbaijan Shahid Madani University
`0031947532846002878`

0031947532846002878
No
en
The Representations and Positive Type Functions of Some Homogenous Spaces
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.
47
56
http://ijmsi.ir/browse.php?a_code=A-10-538-1&slc_lang=en&sid=1
R.
Raisi Tousi
Ferdowsi University Of Mashhad
raisi@.um.ac.ir
`0031947532846002879`

0031947532846002879
No
F.
Esmaeelzadeh
Bojnourd Branch, Islamic Azad University
esmaeelzadeh@bojnourdiau.ac.ir
`0031947532846002880`

0031947532846002880
Yes
R. A.
Kamyabi Gol
Ferdowsi University Of Mashhad
kamyabi@.um.ac.ir
`0031947532846002881`

0031947532846002881
No
en
Stability of $g$-Frame Expansions
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.
57
67
http://ijmsi.ir/browse.php?a_code=A-10-871-1&slc_lang=en&sid=1
A.
Abdollahi
Shiraz University
abdollahi@shirazu.ac.ir
`0031947532846002882`

0031947532846002882
Yes
E.
Rahimi
DepaShiraz Branch, Islamic Azad University
rahimie@shirazu.ac.ir
`0031947532846002883`

0031947532846002883
No
en
An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings
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.
69
83
http://ijmsi.ir/browse.php?a_code=A-10-758-2&slc_lang=en&sid=1
H. R.
Sahebi
DepartmenScience and Research Branch, Islamic Azad University
sahebi@mail.aiau.ac.ir
`0031947532846002884`

0031947532846002884
No
A.
Razani
DepartmentScience and Research Branch, Islamic Azad University
razani@ipm.ir
`0031947532846002885`

0031947532846002885
Yes
en
On $(α, β)$−Linear Connectivity
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.
85
100
http://ijmsi.ir/browse.php?a_code=A-10-891-1&slc_lang=en&sid=1
F.
Ayatollah Zadeh Shirazi
Faculty of Mathematics, Statistics and Computer Science, ColUniversity of Tehran
fatemah@khayam.ut.ac.ir
`0031947532846002917`

0031947532846002917
Yes
A.
Hosseini
Farhangian University (Pardis Nasibe-Shahid Sherafat branch)
a_hosseini@guilan.ac.ir
`0031947532846002918`

0031947532846002918
No
en
Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
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.
101
113
http://ijmsi.ir/browse.php?a_code=A-10-997-1&slc_lang=en&sid=1
S.
Kumar Mohanta
Department of Mathematics,West Bengal State University
smwbes@yahoo.in
`0031947532846002888`

0031947532846002888
Yes
en
On Harmonic Index and Diameter of Unicyclic Graphs
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.
115
122
http://ijmsi.ir/browse.php?a_code=A-10-1060-1&slc_lang=en&sid=1
J.
Amalorpava Jerline
Holy Cross College
jermaths@gmail.com
`0031947532846002889`

0031947532846002889
Yes
L.
Benedict Michaelraj
Joseph’s College
`0031947532846002890`

0031947532846002890
No
en
Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
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.
123
136
http://ijmsi.ir/browse.php?a_code=A-10-568-1&slc_lang=en&sid=1
M.
Demma
Universit`a degli Studi di Palermo
`0031947532846002891`

0031947532846002891
No
R.
Saadati
Iran University of Science and Technology
rsaadati@eml.cc
`0031947532846002892`

0031947532846002892
Yes
P.
Vetro
Universit`a degli Studi di Palermo
`0031947532846002893`

0031947532846002893
No
en
Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
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
137
143
http://ijmsi.ir/browse.php?a_code=A-10-1873-2&slc_lang=en&sid=1
M.
Tavakoli
Ferdowsi University of Mashhad
M.tavakoly@Alumni.ut.ac.ir
`0031947532846002925`

0031947532846002925
No
F.
Rahbarnia
Ferdowsi University of Mashhad
rahbarnia@um.ac.ir
`0031947532846002926`

0031947532846002926
No
A. R
Ashrafi
University of Kashan
ashrafi@kashanu.ac.ir
`0031947532846002927`

0031947532846002927
Yes
en
ABSTRACTS IN PERSIAN - Vol. 11, No. 1
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 11, No. 1
145
157
http://ijmsi.ir/browse.php?a_code=A-10-583-13&slc_lang=en&sid=1
Name of Authors
In This Volume
Tarbiat Modares University, Jahade Daneshgahi
fatemh.bardestani@gmail.com
`0031947532846002942`

0031947532846002942
Yes