Selected Papers from “3rd International Conference: Constructive Mathematical Analysis”

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 September 2025 | Viewed by 1412

Special Issue Editors


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Guest Editor

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Guest Editor
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania
Interests: ulam stability of operators; functional equations; functional analysis; approximation theory; inequalities
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Guest Editor
School of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, Ireland
Interests: integral equations in Banach spaces; groups and semigroups of linear operators; qualitative theory of discrete and continuous evolution equations in Banach spaces; Hyers–Ulam stability and its connections with exponential dichotomy; long time behavior for solutions of abstract Cauchy problems in Banach spaces; fixed point theory and its application

Special Issue Information

Dear Colleagues,

The main goal of this Special Issue is to publish high-quality research papers presented at the 3rd International Conference: Constructive Mathematical Analysis (ICCMA2025).

The conference will be held in Konya, located in the Central Anatolia region of Türkiye, which is part of the Cappadocia region and very close to the Mediterranean coast.

This Special Issue will consider papers on the following topics:

  • Positive approximation processes and applications;
  • Approximation by sampling type operators and applications;
  • Nonlinear analysis, fixed point theory, and their applications;
  • Fourier analysis and its applications;
  • Any other topics analyzed at the conference.

Prof. Dr. Tuncer Acar
Prof. Dr. Ioan Rașa
Prof. Dr. Donal O’Regan
Guest Editors

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • constructive mathematical analysis
  • operator theory
  • function analysis
  • fourier analysis
  • sampling series
  • approximation theory
  • linear positive operators

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Published Papers (1 paper)

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Research

15 pages, 3646 KiB  
Article
Truncation Error Bounds for Branched Continued Fraction Expansions of Some Appell’s Hypergeometric Functions F2
by Roman Dmytryshyn
Symmetry 2025, 17(8), 1204; https://doi.org/10.3390/sym17081204 - 29 Jul 2025
Viewed by 29
Abstract
This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula for the difference of two approximants of a branched continued fraction, we established the truncation error bounds for such expansions. In [...] Read more.
This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula for the difference of two approximants of a branched continued fraction, we established the truncation error bounds for such expansions. In addition, we provided another proof of the convergence of branched continued fraction expansions to the ratio of Appell’s hypergeometric functions F2. Finally, we also provide examples to demonstrate the effectiveness of branched continued fractions as a tool for approximating special functions. Full article
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