Pointwise Approximation by Bernstein Polynomials

Authors

  • Gancho Tachev Tachev

Keywords:

Bernstein polynomials, Direct theorems, Ditzian-Totik moduli of smoothness

Abstract

We improve the degree of pointwise approximation of continuous function f(x) by Bernstein operator, when x is close to the endpoints of [0, 1]. We apply the new estimate to establish upper and lower pointwise estimates for logarithmic function. At the end we prove general statement for pointwise approximation by Bernstein operator. 10.1017/S0004972711002838

Published

2012-04-22

Issue

Vol. 85 No. 3 (2012)

Section

Articles
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