Advanced Approximation Techniques and Their Applications II

Dear Colleagues,

Approximation theory is one of the most intriguing sections of mathematics, as its application overlaps with both classical and modern analysis, as well as numerical analysis, and even various branches of applied mathematics. Nowadays, due to the development of computer technology and the requirements of natural and engineering sciences, interest in studying various approximation techniques has grown significantly. In the scientific community, this is a continuous stimulus to develop new and better-performing approximation techniques that are able to grasp the particular features of the problem.

The primary purpose of this Special Issue is to highlight the advanced techniques of approximation theory which have a practical application to a wide range of mathematics problems. This, in turn, will enrich mathematical science with profound and fruitful results.

Prof. Dr. Roman Dmytryshyn
Guest Editor

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. Axioms 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.

• interpolation in approximation theory
• approximation by polynomials spline
• approximation
• approximation by trigonometric polynomials inequalities in approximation
• approximation by rational functions
• Padé approximation
• rate of convergence
• inverse theorems in approximation
• theory simultaneous approximation
• approximation with constraints
• approximation by special function classes
• approximation by operators saturation in approximation theory
• best constants in approximation theory
• approximation by arbitrary linear expressions
• approximation by arbitrary nonlinear expressions
• uniqueness of best approximation
• best approximants
• approximate quadratures
• numerical approximation
• series expansions
• asymptotic approximations
• asymptotic expansions
• abstract approximation theory
• remainders in approximation
• formulas least-squares
• methods continued fractions and their generalizations
• convergence and divergence of infinite limiting processes
• approximation of solutions of differential equations
• approximation of solutions of functional-differential equations
• approximation of solutions of integral equations

• Advanced Approximation Techniques and Their Applications in Axioms (15 articles)