@article {
author = {Adhya, Sugata and Deb Ray, Atasi},
title = {Some Properties of Lebesgue Fuzzy Metric Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {1-14},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.120854.743},
abstract = {In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces. We also discuss the Lebesgue property of several well-known fuzzy metric spaces.},
keywords = {Fuzzy metric space,Lebesgue property,Weak $G$-complete},
url = {https://scma.maragheh.ac.ir/article_46667.html},
eprint = {https://scma.maragheh.ac.ir/article_46667_f59e7b832de5c1c96be81715fb591613.pdf}
}
@article {
author = {Shakoory, Habib and Ahmadi, Reza and Behzadi, Naghi and Nami, Susan},
title = {A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {15-34},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.123056.766},
abstract = {In this manuscript, we study the relation between K-fusion frame and its local components which leads to the definition of a $C$-controlled $K$-fusion frames, also we extend a theory based on K-fusion frames on Hilbert spaces, which prepares exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In particular, we define the analysis, synthesis and frame operator for $C$-controlled $K$-fusion frames, which even yield a reconstruction formula. Also, we define dual of $C$-controlled $K$-fusion frames and study some basic properties and perturbation of them.},
keywords = {Frame,$k$-fusion frame,Controlled fusion frame,Controlled $K$-fusion frame},
url = {https://scma.maragheh.ac.ir/article_46575.html},
eprint = {https://scma.maragheh.ac.ir/article_46575_1c975979396a5c2cf12c24741735cc21.pdf}
}
@article {
author = {Najati, Abbas and Noori, Batool and Moghimi, Mohammad Bagher},
title = {On Approximation of Some Mixed Functional Equations},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {35-46},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.127585.801},
abstract = {In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38]. Indeed, we investigate the Hyers-Ulam stability problem of the following functional equations\begin{align*} 2\varphi(x + y) + \varphi(x - y) &= 3\varphi(x)+ 3\varphi(y) \\ 2\psi(x + y) + \psi(x - y) &= 3\psi(x) + 2\psi(y) + \psi(-y).\end{align*}We also consider the Pexider type functional equation \[2\psi(x + y) + \psi(x - y) = f(x) + g(y),\] and the additive functional equation\[2\psi(x + y) + \psi(x - y) = 3\psi(x) + \psi(y).\]},
keywords = {Hyers-Ulam stability,Additive,Quadratic,Drygas,Functional equation,Lebesgue measure zero,Pexider equation},
url = {https://scma.maragheh.ac.ir/article_46665.html},
eprint = {https://scma.maragheh.ac.ir/article_46665_3ce38b61e7b850642214401464923acf.pdf}
}
@article {
author = {Hasankhani Fard, Mohammad Ali},
title = {Gabor Dual Frames with Characteristic Function Window},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {47-57},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.121704.751},
abstract = {The duals of Gabor frames have an essential role in reconstruction of signals. In this paper we find a necessary and sufficient condition for two Gabor systems $\left(\chi_{\left[c_1,d_1\right)},a,b\right)$ and $\left(\chi_{\left[c_2,d_2\right)},a,b\right)$ to form dual frames for $L_2\left(\mathbb{R}\right)$, where $a$ and $b$ are positive numbers and $c_1,c_2,d_1$ and $d_2$ are real numbers such that $c_1