On exponentiable soft topological spaces
Ghasem
Mirhosseinkhani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
author
Ahmad
Mohammadhasani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
author
text
article
2016
eng
An object $X$ of a category $\mathbf{C}$ with finite limits is called exponentiable if the functor $-\times X:\mathbf{C}\rightarrow \mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable spaces in the category $\mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $\mathbf{STop}$ of soft topological spaces which is a generalization of the category $\mathbf{Top}$. We investigate the exponentiability problem and give a characterization of exponentiable soft spaces. Also wegive the definition of exponential topology on the lattice of soft open sets of a soft space and present some characterizations of it.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
1
14
https://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf
A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
Somayeh
Nemati
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
author
text
article
2016
eng
In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
15
27
https://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf
Convergence analysis of the sinc collocation method for integro-differential equations system
Mohammad
Zarebnia
Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.
author
text
article
2016
eng
In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k \sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
29
42
https://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf
Construction of continuous $g$-frames and continuous fusion frames
Mahdiyeh
Khayyami
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
author
Akbar
Nazari
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
author
text
article
2016
eng
A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion frames in Hilbert spaces.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
43
55
https://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf
Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
Sohrab
Bazm
Department of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.
author
text
article
2016
eng
Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
57
77
https://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf
On isomorphism of two bases in Morrey-Lebesgue type spaces
Fatima. A.
Guliyeva
Institute of Mathematics and Mechanics of NAS of Azerbaijan, Az1141, Baku, Azerbaijan.
author
Rubaba H.
Abdullayeva
Math teacher at the school No 297, Baku, Azerbaijan.
author
text
article
2016
eng
Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type space on $\left[-\pi , \pi \right]$, then it is isomorphic to the classical system of exponents in this space.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
79
90
https://scma.maragheh.ac.ir/article_22226_0b34cf5e5a4f7c322ff3393fa083fff2.pdf
Results of the Chebyshev type inequality for Pseudo-integral
Bayaz
Daraby
Department of Mathematics, University of Maragheh, Maragheh, Iran.
author
text
article
2016
eng
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
91
100
https://scma.maragheh.ac.ir/article_22517_0bef1cf731c3d726fdeb91ce4bbaa098.pdf
On rarely generalized regular fuzzy continuous functions in fuzzy topological spaces
Appachi
Vadivel
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
author
Elangovan
Elavarasan
Research scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
author
text
article
2016
eng
In this paper, we introduce the concept of rarely generalized regular fuzzy continuous functions in the sense of A.P. Sostak's and Ramadan is introduced. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
04
v.
1
no.
2016
101
108
https://scma.maragheh.ac.ir/article_22227_4d3396deccfe38f3630b7cb9f2880ead.pdf