@article {
author = {Abdollahpour, M. R. and Shekari, A.},
title = {Frameness bound for frame of subspaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {1-8},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Frame of subspaces,Frameness bound,Pseudo-inverse,Ultra Bessel sequence of subspaces},
url = {https://scma.maragheh.ac.ir/article_11238.html},
eprint = {https://scma.maragheh.ac.ir/article_11238_8f9d27b3640ea950d403997a6d25cd59.pdf}
}
@article {
author = {Daraby, Bayaz and Ghadimi, Fatemeh},
title = {General Minkowski type and related inequalities for seminormed fuzzy integrals},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {9-20},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Non-additive measure,Minkowski type inequality,Comonotone function,Seminormed fuzzy integral},
url = {https://scma.maragheh.ac.ir/article_11255.html},
eprint = {https://scma.maragheh.ac.ir/article_11255_475b8e90407892736755d0e35e0bbdde.pdf}
}
@article {
author = {Alimohammady, Mohsen and Fattahi, Fariba},
title = {Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {21-28},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.},
keywords = {Colombeau algebra,Fractional Laplacian},
url = {https://scma.maragheh.ac.ir/article_11259.html},
eprint = {https://scma.maragheh.ac.ir/article_11259_495fa0c1745c6f14d16fd9230665e1e4.pdf}
}
@article {
author = {Shahriari, Mohammad and Jodayree Akbarfam, Aliasghar},
title = {Inverse Sturm-Liouville problem with discontinuity conditions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {29-40},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Inverse problem,Sturm-Liouville problems,Discontinuous conditions,Green's function},
url = {https://scma.maragheh.ac.ir/article_11264.html},
eprint = {https://scma.maragheh.ac.ir/article_11264_f018e30effb001af0711f93b3ef19f83.pdf}
}
@article {
author = {Rahimi, Asghar},
title = {Invariance of Fréchet frames under perturbation},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {41-51},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Frame,Banach frame,Fr\'echet frames,Fr\'echet spaces,Perturbation,F-bounded},
url = {https://scma.maragheh.ac.ir/article_11265.html},
eprint = {https://scma.maragheh.ac.ir/article_11265_308f52d415d8ee4087af6399a352b7e4.pdf}
}
@article {
author = {Hariri, Parisa},
title = {Sandwich-type theorems for a class of integral operators with special properties},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {52-63},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Analytic function,Starlike and convex function,Univalent function,Differential subordination and superordination,Bounded rotation},
url = {https://scma.maragheh.ac.ir/article_11266.html},
eprint = {https://scma.maragheh.ac.ir/article_11266_abfd6ef74d1e1681b800ca7ee0afadf9.pdf}
}
@article {
author = {Kazemipoor, Seyyed Sadegh and Zakeri, Mahboobeh},
title = {Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {1},
pages = {64-70},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Laplacian systems,Nehari manifold,Sign-changing weight functions},
url = {https://scma.maragheh.ac.ir/article_11268.html},
eprint = {https://scma.maragheh.ac.ir/article_11268_2cda682df700f73395c916788a4653d0.pdf}
}