New Advances in Functional Analysis and PDEs

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".

Deadline for manuscript submissions: 31 December 2026 | Viewed by 681

Special Issue Editors


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Guest Editor
Laboratory of Functional Analysis and Geometry of Spaces, Faculty of Mathematics and Informatics, Department of Mathematics, M’sila University, M’sila 28000, Algeria
Interests: harmonic analysis; function spaces; PDEs

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Guest Editor
School of Mathematics and Computing Science, Guilin University of Electronic Technology, 1 Jinjilu, Guilin 541004, China
Interests: function spaces; PDEs

Special Issue Information

Dear Colleagues,

Functional analysis plays an important role in many research areas of pure and applied mathematics. The motivation for the increasing interest in functional analysis is not only for theoretical purposes, but also because of its applications in a variety of fields, across partial differential equations, probability, stochastic processes, physics (especially quantum mechanics) and harmonic analysis.

We invite you to contribute a manuscript to the Special Issue “New Advances in Functional Analysis and PDEs”.

The aim of this Special Issue is to present recent original research and review articles in functional analysis and partial differential equations. We encourage cooperation between researchers working in functional analysis and applied mathematics.

Potential topics include, but are not limited to, the following:

  • Operator theory;
  • Measure theory;
  • Potential Theory;
  • Harmonic analysis;
  • New perspectives in real/analytic function spaces (embeddings, equivalent norms, Interpolation,…);
  • Interpolation inequalities and their applications;
  • Partial differential equations.

Prof. Dr. Douadi Drihem
Prof. Dr. Jingshi Xu
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

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Keywords

  • operator theory
  • calculus of variations
  • Hardy-Sobolev type inequalities
  • partial differential equations
  • function spaces
  • interpolation theory
  • Fourier analysis
  • spectral theory
  • geometry
  • potential theory

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Published Papers (1 paper)

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Research

15 pages, 289 KB  
Article
A New Family of Szász–Mirakyan-Type Operators Preserving Two Exponential Functions
by Gülsüm Ulusoy Ada and Ali Aral
Mathematics 2026, 14(7), 1214; https://doi.org/10.3390/math14071214 - 4 Apr 2026
Cited by 1 | Viewed by 415
Abstract
This paper introduces a new family of Szász–Mirakyan-type operators defined by a convex combination of two Poisson-type constructions. The operators preserve the constant function and provide a continuous transition between different exponential behaviors through a parameter sequence. Basic properties of the operators are [...] Read more.
This paper introduces a new family of Szász–Mirakyan-type operators defined by a convex combination of two Poisson-type constructions. The operators preserve the constant function and provide a continuous transition between different exponential behaviors through a parameter sequence. Basic properties of the operators are studied, including the preservation of exponential test functions and the behavior of the first and second central moments. Voronovskaja-type asymptotic results are obtained, describing the effect of the parameter on the asymptotic structure. Moreover, a necessary condition for faster-than 1/n approximation is derived. The behavior of the operators is examined through computational evidence, which also confirms the theoretical findings. Full article
(This article belongs to the Special Issue New Advances in Functional Analysis and PDEs)
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