University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Frameness bound for frame of subspaces
1
8
EN
M. R.
Abdollahpour
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.
m.abdollah@um.ac.ir
A.
Shekari
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.
raha.azimi84@yahoo.com
In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.
Frame of subspaces,Frameness bound,Pseudo-inverse,Ultra Bessel sequence of subspaces
http://scma.maragheh.ac.ir/article_11238.html
http://scma.maragheh.ac.ir/article_11238_8f9d27b3640ea950d403997a6d25cd59.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
General Minkowski type and related inequalities for seminormed fuzzy integrals
9
20
EN
Bayaz
Daraby
Department of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.
bdaraby@maragheh.ac.ir
Fatemeh
Ghadimi
Department of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.
ghadimi f88@yahoo.com
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.
Non-additive measure,Minkowski type inequality,Comonotone function,Seminormed fuzzy integral
http://scma.maragheh.ac.ir/article_11255.html
http://scma.maragheh.ac.ir/article_11255_475b8e90407892736755d0e35e0bbdde.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra
21
28
EN
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar,
Iran.
amohsen@umz.ac.ir
Fariba
Fattahi
Department of Mathematics, University of Mazandaran, Babolsar,
Iran.
f.fattahi@stu.umz.ac.ir
This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.
Colombeau algebra,Fractional Laplacian
http://scma.maragheh.ac.ir/article_11259.html
http://scma.maragheh.ac.ir/article_11259_495fa0c1745c6f14d16fd9230665e1e4.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Inverse Sturm-Liouville problem with discontinuity conditions
29
40
EN
Mohammad
Shahriari
Department of Mathematics, Faculty of Science, University of Maragheh,
P.O. Box 55181-83111, Maragheh, Iran.
shahriari@tabrizu.ac.ir
Aliasghar
Jodayree Akbarfam
Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51664,
Iran.
akbarfam@yahoo.com
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.
Inverse problem,Sturm-Liouville problems,Discontinuous conditions,Green's function
http://scma.maragheh.ac.ir/article_11264.html
http://scma.maragheh.ac.ir/article_11264_f018e30effb001af0711f93b3ef19f83.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Invariance of Fréchet frames under perturbation
41
51
EN
Asghar
Rahimi
Department of mathematics, University of Maragheh, Maragheh, Iran.
rahimi@maragheh.ac.ir
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.
Frame,Banach frame,Fr\'echet frames,Fr\'echet spaces,Perturbation,F-bounded
http://scma.maragheh.ac.ir/article_11265.html
http://scma.maragheh.ac.ir/article_11265_308f52d415d8ee4087af6399a352b7e4.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Sandwich-type theorems for a class of integral operators with special properties
52
63
EN
Parisa
Hariri
Department of Mathematics and Statistics, University of Turku, Turku,
Finland.
hariri.p@gmail.com
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.
Analytic function,Starlike and convex function,Univalent function,Differential subordination and superordination,Bounded rotation
http://scma.maragheh.ac.ir/article_11266.html
http://scma.maragheh.ac.ir/article_11266_abfd6ef74d1e1681b800ca7ee0afadf9.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
1
1
2014
02
01
Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
64
70
EN
Seyyed Sadegh
Kazemipoor
Department of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.
s.kazemipoor@umz.ac.ir
Mahboobeh
Zakeri
Department of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.
mzakeri.math@gmail.com
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.
Laplacian systems,Nehari manifold,Sign-changing weight functions
http://scma.maragheh.ac.ir/article_11268.html
http://scma.maragheh.ac.ir/article_11268_2cda682df700f73395c916788a4653d0.pdf