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Advanced Approximation Techniques and Their Applications

This special issue belongs to the section “Mathematical Analysis“.

Special Issue Information

Dear Colleagues,

The theory of approximations is one of the most intriguing sections of mathematics, as its field 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, able to grasp the particular features of the problem.

The primary purpose of the 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
Dr. Tuncer Acar
Guest Editors

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Keywords

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

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