skip to main content

SciTech ConnectSciTech Connect

Title: The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials

The paper concerns the approximation properties of the Bernstein-Stechkin summability method for trigonometric Fourier series. The Jackson-Stechkin theorem is refined. Moreover, for any continuous periodic function not only is the exact upper estimate for approximation found, a lower estimate of the same order is also put forward. To do this special moduli of smoothness and the K-functional are introduced. Bibliography: 16 titles.
Authors:
 [1]
  1. Donetsk National University, Donetsk (Ukraine)
Publication Date:
OSTI Identifier:
22365854
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; FUNCTIONALS; MATHEMATICAL SOLUTIONS; PERIODICITY; POLYNOMIALS; SMOOTH MANIFOLDS