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Symmetry
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Selected Papers from “3rd International Conference: Constructive Mathematical Analysis”
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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 2223

Special Issue Editors

Prof. Dr. Tuncer Acar

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Guest Editor
Faculty of Science, Department of Mathematics, Selcuk University, Selcuklu, 42003 Konya, Turkey
Interests: functional analysis; approximation theory
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Ioan Rașa

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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
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Donal O’Regan

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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

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

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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Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

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Research

25 pages, 707 KB  
Article
On the Sets of Stability to Perturbations of Some Continued Fraction with Applications
by Marta Dmytryshyn and Volodymyr Hladun
Symmetry 2025, 17(9), 1442; https://doi.org/10.3390/sym17091442 - 3 Sep 2025
Viewed by 491
Abstract
This paper investigates the stability of continued fractions with complex partial denominators and numerators equal to one. Such fractions are an important tool for function approximation and have wide application in physics, engineering, and mathematics. A formula is derived for the relative error [...] Read more.
This paper investigates the stability of continued fractions with complex partial denominators and numerators equal to one. Such fractions are an important tool for function approximation and have wide application in physics, engineering, and mathematics. A formula is derived for the relative error of the approximant of a continued fraction, which depends on both the relative errors of the fraction’s elements and the elements themselves. Based on this formula, using the methodology of element sets and their corresponding value sets, conditions are established under which the approximants of continued fractions are stable to perturbations of their elements. Stability sets are constructed, which are sets of admissible values for the fraction’s elements that guarantee bounded errors in the approximants. For each of these sets, an estimate of the relative error that arises from the perturbation of the continued fraction’s elements is obtained. The results are illustrated with an example of a continued fraction that is an expansion of the ratio of Bessel functions of the first kind. A numerical experiment is conducted, comparing two methods for calculating the approximants of a continued fraction: the backward and forward algorithms. The computational stability of the backward algorithm is demonstrated, which corresponds to the theoretical research results. The errors in calculating approximants with this algorithm are close to the unit round-off, regardless of the order of approximation, which demonstrates the advantages of continued fractions in high-precision computation tasks. Another example is a comparative analysis of the accuracy and stability to perturbations of second-order polynomial model and so-called second-order continued fraction model in the problem of wood drying modeling. Experimental studies have shown that the continued fraction model shows better results both in terms of approximation accuracy and stability to perturbations, which makes it more suitable for modeling processes with pronounced asymptotic behavior. Full article
(This article belongs to the Special Issue Selected Papers from “3rd International Conference: Constructive Mathematical Analysis”)
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15 pages, 3646 KB  
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
Cited by 1 | Viewed by 242
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
(This article belongs to the Special Issue Selected Papers from “3rd International Conference: Constructive Mathematical Analysis”)
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