eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
1
8
11238
مقاله پژوهشی
Frameness bound for frame of subspaces
M. R. Abdollahpour
m.abdollah@um.ac.ir
1
A. Shekari
raha.azimi84@yahoo.com
2
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.
In this paper, we show that in each finite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a finite dimensional Hilbert space has frameness bound.
http://scma.maragheh.ac.ir/article_11238_8f9d27b3640ea950d403997a6d25cd59.pdf
Frame of subspaces
Frameness bound
Pseudo-inverse
Ultra Bessel sequence of subspaces
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
9
20
11255
مقاله پژوهشی
General Minkowski type and related inequalities for seminormed fuzzy integrals
Bayaz Daraby
bdaraby@maragheh.ac.ir
1
Fatemeh Ghadimi
ghadimi f88@yahoo.com
2
Department of Mathematics, University of Maragheh, P. O. Box 55181- 83111, Maragheh, Iran.
Department of Mathematics, University of Maragheh, P. O. Box 55181- 83111, Maragheh, Iran.
Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.
http://scma.maragheh.ac.ir/article_11255_475b8e90407892736755d0e35e0bbdde.pdf
Non-additive measure
Minkowski type inequality
Comonotone function
Seminormed fuzzy integral
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
21
28
11259
مقاله پژوهشی
Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra
Mohsen Alimohammady
amohsen@umz.ac.ir
1
Fariba Fattahi
f.fattahi@stu.umz.ac.ir
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.
http://scma.maragheh.ac.ir/article_11259_495fa0c1745c6f14d16fd9230665e1e4.pdf
Colombeau algebra
Fractional Laplacian
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
29
40
11264
مقاله پژوهشی
Inverse Sturm-Liouville problem with discontinuity conditions
Mohammad Shahriari
shahriari@tabrizu.ac.ir
1
Aliasghar Jodayree Akbarfam
akbarfam@yahoo.com
2
Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran.
Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51664, Iran.
This paper deals with the boundary value problem involving the differential equation begin{equation*} ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity conditions at a point $ain (0,pi)$ begin{equation*} y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x), a_1 , a_2$ are real, $qin L^{2}(0,pi)$ and $lambda$ is a parameter independent of $x$. We develop the Hochestadt's result based on the transformation operator for inverse Sturm-Liouville problem when there are discontinuous conditions. Furthermore, we establish a formula for $q(x) - tilde{q}(x)$ in the finite interval where $q(x)$ and $tilde{q}(x)$ are analogous functions.
http://scma.maragheh.ac.ir/article_11264_f018e30effb001af0711f93b3ef19f83.pdf
Inverse problem
Sturm-Liouville problems
Discontinuous conditions
Green's function
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
41
51
11265
مقاله پژوهشی
Invariance of Fréchet frames under perturbation
Asghar Rahimi
rahimi@maragheh.ac.ir
1
Department of mathematics, University of Maragheh, Maragheh, Iran.
Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces has a series expansion.
http://scma.maragheh.ac.ir/article_11265_308f52d415d8ee4087af6399a352b7e4.pdf
Frame
Banach frame
Fr'echet frames
Fr'echet spaces
Perturbation
F-bounded
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
52
63
11266
مقاله پژوهشی
Sandwich-type theorems for a class of integral operators with special properties
Parisa Hariri
hariri.p@gmail.com
1
Department of Mathematics and Statistics, University of Turku, Turku, Finland.
In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.
http://scma.maragheh.ac.ir/article_11266_abfd6ef74d1e1681b800ca7ee0afadf9.pdf
Analytic function
Starlike and convex function
Univalent function
Differential subordination and superordination
Bounded rotation
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-02-01
01
1
64
70
11268
مقاله پژوهشی
Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
Seyyed Sadegh Kazemipoor
s.kazemipoor@umz.ac.ir
1
Mahboobeh Zakeri
mzakeri.math@gmail.com
2
Department of Basic Sciences, Payame Noor University of Karaj, Karaj, Iran.
Department of Basic Sciences, Payame Noor University of Karaj, Karaj, Iran.
In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
http://scma.maragheh.ac.ir/article_11268_2cda682df700f73395c916788a4653d0.pdf
Laplacian systems
Nehari manifold
Sign-changing weight functions