2021-10-19T18:16:33Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=1864
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Frameness bound for frame of subspaces
M. R.
Abdollahpour
A.
Shekari
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.
Frame of subspaces
Frameness bound
Pseudo-inverse
Ultra Bessel sequence of subspaces
2014
02
01
1
8
https://scma.maragheh.ac.ir/article_11238_8f9d27b3640ea950d403997a6d25cd59.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
General Minkowski type and related inequalities for seminormed fuzzy integrals
Bayaz
Daraby
Fatemeh
Ghadimi
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
2014
02
01
9
20
https://scma.maragheh.ac.ir/article_11255_475b8e90407892736755d0e35e0bbdde.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra
Mohsen
Alimohammady
Fariba
Fattahi
This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.
Colombeau algebra
Fractional Laplacian
2014
02
01
21
28
https://scma.maragheh.ac.ir/article_11259_495fa0c1745c6f14d16fd9230665e1e4.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Inverse Sturm-Liouville problem with discontinuity conditions
Mohammad
Shahriari
Aliasghar
Jodayree Akbarfam
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.
Inverse problem
Sturm-Liouville problems
Discontinuous conditions
Green's function
2014
02
01
29
40
https://scma.maragheh.ac.ir/article_11264_f018e30effb001af0711f93b3ef19f83.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Invariance of Fréchet frames under perturbation
Asghar
Rahimi
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
2014
02
01
41
51
https://scma.maragheh.ac.ir/article_11265_308f52d415d8ee4087af6399a352b7e4.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Sandwich-type theorems for a class of integral operators with special properties
Parisa
Hariri
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
2014
02
01
52
63
https://scma.maragheh.ac.ir/article_11266_abfd6ef74d1e1681b800ca7ee0afadf9.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
1
Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
Seyyed Sadegh
Kazemipoor
Mahboobeh
Zakeri
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
2014
02
01
64
70
https://scma.maragheh.ac.ir/article_11268_2cda682df700f73395c916788a4653d0.pdf