eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
1
12
18569
مقاله پژوهشی
A new sequence space and norm of certain matrix operators on this space
Hadi Roopaei
h.roopaei@gmail.com
1
Davoud Foroutannia
foroutan@vru.ac.ir
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of finding the norm of certain matrix operators from $l_p$ into $ l_p(E,Delta)$, and apply our results to Copson and Hilbert matrices.
http://scma.maragheh.ac.ir/article_18569_d37578addf12775560a0dd1348a14dea.pdf
Difference sequence space
Matrix domains
norm
Copson matrix
Hilbert matrix
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
13
20
17845
مقاله پژوهشی
The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
Hassan Kamil Jassim
hassan.kamil28@yahoo.com
1
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.
http://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdf
Fredholm integral equation
Local fractional Adomian decomposition method
Local fractional variational iteration method
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
21
27
18685
مقاله پژوهشی
Some properties of fuzzy real numbers
Bayaz Daraby
bdaraby@maragheh.ac.ir
1
Javad Jafari
javad.jafari33333@gmail.com
2
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
In the mathematical analysis, there are some theorems and definitions that established for both real and fuzzy numbers.
In this study, we try to prove Bernoulli's inequality in fuzzy real numbers with some of its applications. Also, we prove two other theorems in fuzzy real numbers which are proved before, for real numbers.
http://scma.maragheh.ac.ir/article_18685_8eb1db4d00d23665dcf2e7857784a827.pdf
Fuzzy real number
Bernoulli's inequality
Real number
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
29
35
18094
مقاله پژوهشی
Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders
Sanjib Datta
sanjib_kr_datta@yahoo.co.in
1
Tanmay Biswas
tanmaybiswas_math@rediffmail.com
2
Pranab Das
pranabdas90@gmail.com
3
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-\ 741235, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of their relative Ritt order are the prime concern of this paper. Actually in this paper we establish some newly developed results related to the growth rates of entire functions on the basis of their relative Ritt order (respectively, relative Ritt lower order).
http://scma.maragheh.ac.ir/article_18094_663f26d0249c7fa7dd6e83e21ad32d04.pdf
Vector valued
Dirichlet series (VVDS)
Relative Ritt order
Relative Ritt lower order
growth
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
37
51
15994
مقاله پژوهشی
Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
Sohrab Bazm
sbazm@maragheh.ac.ir
1
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficiency and accuracy of the method.
http://scma.maragheh.ac.ir/article_15994_6d676e68a2b7a882c1334cdc50d1acf4.pdf
Nonlinear two-dimensional integral equations
Bernoulli polynomials
Collocation method
Operational matrices
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
53
61
18096
مقاله پژوهشی
On strongly Jordan zero-product preserving maps
Ali Reza Khoddami
khoddami.alireza@shahroodut.ac.ir
1
Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-316, Shahrood, Iran.
In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct product and the composition of two strongly Jordan zero-product preserving maps are again strongly Jordan zero-product preserving maps. But this fact is not the case for tensor product of them in general. Finally, we prove that every $*-$preserving linear map from a normed $*-$algebra into a $C^*-$algebra that strongly preserves Jordan zero-products is necessarily continuous.
http://scma.maragheh.ac.ir/article_18096_d23368a43afbd4357de9825202e142e0.pdf
Strongly zero-product preserving map
Strongly Jordan zero-product preserving map
Zero-product preserving map
Jordan zero-product preserving map
Tensor product
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-02-01
03
1
63
70
17820
مقاله پژوهشی
Parabolic starlike mappings of the unit ball $B^n$
Samira Rahrovi
sarahrovi@gmail.com
1
Department of Mathematics, Faculty of Basic Science, University of Bonab, P.O. Box 5551-761167, Bonab, Iran.
Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by $$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$, $z=(z_1,hat{z})in B^n$ and $$Psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$ in which $betain[0,1]$, $f(z_1)neq 0$ and $z=(z_1,hat{z})in B^n$. In the case $gamma=1/2$, the function $Phi_{n,gamma}(f)$ reduces to the well known Roper-Suffridge extension operator. By using different methods, we prove that if $f$ is parabolic starlike mapping on $U$ then $Phi_{n,gamma}(f)$ and $Psi_{n,beta}(f)$ are parabolic starlike mappings on $B^n$.
http://scma.maragheh.ac.ir/article_17820_b9493019b43e586b7325e86fcd33c0a4.pdf
Roper-Suffridge extention operator
Biholomorphic mapping
Parabolic starlike function