RUS  ENG
Full version
JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2021 Volume 24, Number 2, Pages 150–159 (Mi mt655)

An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means

O. G. Rovenskaya

Donbass State Engineering Academy, Kramatorsk

Abstract: In the article, we study a problem related to the approximation of continuous functions by linear methods. In the class of functions satisfying Lipschitz condition, we obtain the best constant for the approximation by Cesaro means of second order.

Key words: exact inequality, Cesaro means, Lipschitz class.

UDC: 517.5

Received: 09.05.2020
Revised: 12.06.2020
Accepted: 31.03.2021

DOI: 10.33048/mattrudy.2021.24.209



© Steklov Math. Inst. of RAS, 2025