Sergii Vakarchuk | Approximation Theory of Function | Best Paper Award

Published on by Math Scientist

Prof. Dr. Sergii Vakarchuk | Approximation Theory of Function | Best Paper Award

Professor | Alfred Nobel University | Ukraine

Prof. Dr. Sergii Vakarchuk of Alfred Nobel University, Ukraine, is a specialist in approximation theory, functional analysis, and polynomial approximation in weighted and unweighted L2L_2 spaces. His work focuses on establishing sharp constants, deriving exact values of n-widths, and developing inequalities of Jackson type for various classes of smooth and analytic functions. He has contributed significantly to understanding the relationships between smoothness characteristics and best approximation by algebraic and trigonometric polynomials. Through precise analytical results, including exact widths of functional classes and optimal linear approximation methods, Prof. Vakarchuk has advanced the theoretical foundations of modern approximation theory and functional spaces.

Profiles: Scopus | Orcid | Google Scholar

Featured Publications

Vakarchuk, S. B. (2004). Exact constant in an inequality of Jackson type for L2-approximation on the line and exact values of mean widths of functional classes. East Journal on Approximations, 10(1), 27–39.
Citations: 41
Year: 2004

Vakarchuk, S. B., & Zabutnaya, V. I. (2016). Inequalities between best polynomial approximations and some smoothness characteristics in the space L2 and widths of classes of functions. Mathematical Notes, 99(1), 222–242.
Citations: 39
Year: 2016

Vakarchuk, S. B., & Shvachko, A. V. (2013). On best approximation in the mean by algebraic polynomials with weight and exact values of widths of function classes. Ukrainian Mathematical Journal, 65(12), 1604–1621.
Citations: 39
Year: 2013

Vakarchuk, S. B. (2002). Exact values of widths of classes of analytic functions in the disk and best linear approximation methods. Mathematical Notes, 72(5), 665–669.
Citations: 39
Year: 2002

Vakarchuk, S. B. (2001). On best polynomial approximations in L2 of certain classes of 2π-periodic functions and exact values of their n-widths. Mathematical Notes, 70(3), 300–310.
Citations: 39
Year: 2001