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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2024 Volume 25, Issue 3, Pages 177–186 (Mi cheb1452)

Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight

A. I. Kozkoab

a Lomonosov Moscow State University (Moscow)
b Moscow center of fundamental and applied mathematics (Moscow)

Abstract: In approximation theory, the problems of finding an estimate of the best approximation through the structural properties of the approximated function are well known. The work is devoted to such problems in spaces with an asymmetric norm and sign-sensitive weights.

Keywords: asymmetric norm, sign-sensitive weight, Jackson—Stechkin theorems, modulus of continuity, modulus of smoothness, best approximation.

UDC: 517.518.83

Received: 07.03.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-177-186



© Steklov Math. Inst. of RAS, 2025