This article is cited in 4 papers

Negative Results in Form-Preserving Approximation of Higher Order

A. V. Bondarenko, A. V. Primak

National Taras Shevchenko University of Kyiv

Abstract: It is proved that for $q$-convex polynomial approximations, where $q\ge4$ , inequalities of Jackson type are not valid even with a constant depending on the approximated function.

UDC: 517.5

Received: 08.05.2003

DOI: 10.4213/mzm150

 English version: Mathematical Notes, 2004, 76:6, 758–769

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