This article is cited in 4 papers

Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients

R. M. Trigub

Donetsk National University

Abstract: We determine the order of approximation of real functions of finite smoothness by polynomials with various restrictions: approximation of functions and their derivatives with Hermitian interpolation at the endpoints, one-sided approximation (for example, from above), and assumptions on the coefficients.

UDC: 517.51

MSC: 41A10, 30E10

Received: 16.05.2001

DOI: 10.4213/im424

 English version: Izvestiya: Mathematics, 2003, 67:1, 183–206

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