Frameness bound for frame of subspaces
M. R.
Abdollahpour
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.
author
A.
Shekari
Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.
author
text
article
2014
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
1
8
https://scma.maragheh.ac.ir/article_11238_8f9d27b3640ea950d403997a6d25cd59.pdf
General Minkowski type and related inequalities for seminormed fuzzy integrals
Bayaz
Daraby
Department of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.
author
Fatemeh
Ghadimi
Department of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.
author
text
article
2014
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
9
20
https://scma.maragheh.ac.ir/article_11255_475b8e90407892736755d0e35e0bbdde.pdf
Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar,
Iran.
author
Fariba
Fattahi
Department of Mathematics, University of Mazandaran, Babolsar,
Iran.
author
text
article
2014
eng
This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
21
28
https://scma.maragheh.ac.ir/article_11259_495fa0c1745c6f14d16fd9230665e1e4.pdf
Inverse Sturm-Liouville problem with discontinuity conditions
Mohammad
Shahriari
Department of Mathematics, Faculty of Science, University of Maragheh,
P.O. Box 55181-83111, Maragheh, Iran.
author
Aliasghar
Jodayree Akbarfam
Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51664,
Iran.
author
text
article
2014
eng
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 $a\in (0,\pi)$ \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, $q\in L^{2}(0,\pi)$ 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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
29
40
https://scma.maragheh.ac.ir/article_11264_f018e30effb001af0711f93b3ef19f83.pdf
Invariance of Fréchet frames under perturbation
Asghar
Rahimi
Department of mathematics, University of Maragheh, Maragheh, Iran.
author
text
article
2014
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
41
51
https://scma.maragheh.ac.ir/article_11265_308f52d415d8ee4087af6399a352b7e4.pdf
Sandwich-type theorems for a class of integral operators with special properties
Parisa
Hariri
Department of Mathematics and Statistics, University of Turku, Turku,
Finland.
author
text
article
2014
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
52
63
https://scma.maragheh.ac.ir/article_11266_abfd6ef74d1e1681b800ca7ee0afadf9.pdf
Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
Seyyed Sadegh
Kazemipoor
Department of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.
author
Mahboobeh
Zakeri
Department of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.
author
text
article
2014
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
1
no.
2014
64
70
https://scma.maragheh.ac.ir/article_11268_2cda682df700f73395c916788a4653d0.pdf