Volume 21, Issue 4
مرور بر اساس
ارسال های اخیر
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On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions
(University of Maragheh, 2024-10-01)In this manuscript, the second order differential operators with constant delay and transmission boundary conditions are studied. The asymptotic forms of the characteristic functions and eigenvalues of the operators are ...
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Norm Retrievable Wavelet Systems
(University of Maragheh, 2024-10-01)This paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet ...
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Analyzing Functions Mapping the Unit Disk to Limaçon Domain
(University of Maragheh, 2024-10-01)This paper focuses on a particular type of starlike univalent function, namely $(1-sz)(1+z)$ with $-1/3\leq s\leq 1/3$. This function maps the open unit disk $\mathbb{D}$ onto a Limaçon domain denoted by \[ \left[(u-1)^2 ...
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A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations
(University of Maragheh, 2024-10-01)In this paper, we provide a quadrature-based iterative approach to solve three-dimensional nonlinear fuzzy Volterra integral equations of the second kind. The error estimation as well as convergence analysis of the proposed ...
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Pseudo-Duals of Frames and Modular Riesz Bases in Hilbert $C^\ast$-Modules
(University of Maragheh, 2024-10-01)In the present article, duals, approximate duals and pseudo-duals (generated by bounded and not necessarily adjointable operators) of a frame in a Hilbert $C^\ast$-module are characterized and some of their properties are ...
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces
(University of Maragheh, 2024-10-01)In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly ...
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Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators
(University of Maragheh, 2024-10-01)This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. The results ...
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Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems
(University of Maragheh, 2024-10-01)This paper studies impulsive dynamic Sturm-Liouville boundary value problems. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the ...
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Brief Study On A New Family of Analytic Functions
(University of Maragheh, 2024-10-01)The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory ...
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A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems
(University of Maragheh, 2024-10-01)The controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new ...
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On Cluster Points of Sequences via Fuzzy Topology
(University of Maragheh, 2024-10-01)The notion of fuzzy convergence, a prominent tool in fuzzy analysis, has wide applications in fuzzy inference. The present paper examines the distinctive features of the cluster points of fuzzy sequences in various fuzzy ...
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Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform
(University of Maragheh, 2024-10-01)The main purpose of this paper is to study the wavelet transform associated with the Laguerre-Bessel transform and to provide an integral representation of the extremal function related to this transform. We then introduce ...
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Some Representations of the Modified Degenerate Gamma Matrix Function
(University of Maragheh, 2024-10-01)The main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced ...
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A Version of the Hahn-Banach Theorem for R-Vector Spaces
(University of Maragheh, 2024-10-01)Recently, $R$-metric spaces have been introduced to generalized metric spaces. This extension is based on the construction of a new universe with interesting properties. In this paper, some topological properties of ...
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$K$-$b$-Frames for Hilbert Spaces and the $b$-Adjoint Operator
(University of Maragheh, 2024-10-01)This paper will generalize $b$-frames, a new concept of frames for Hilbert spaces, by $K$-$b$-frames. The idea is to take a sequence from a Banach space and see how it can be a frame for a Hilbert space. Instead of the ...



