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Coconvex approximation of continuous functions

Authors:

Yu Xiangming

Affiliation:

1. Department of Mathematics, Nanjing Normal University, China

Abstract:

Suppose thatf(x) isin

C[–1, 1],f(x) is convex in [0,1] and concave in [–1,0] with the new concept of regular convexity-turning points,we obtain the following estimates of Jackson type for coconvex approximation off(x) by algebraic polynomials of degree les

$tilde E_n (f) leqslant C omega left( {f, frac{1}{n}} right)$

Keywords:
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