This article is cited in 5 papers

Polynomial approximation of functions with given order of the $k$th generalized modulus of smoothness

M. K. Potapov, G. N. Kazimirov

M. V. Lomonosov Moscow State University

Abstract: The problem of approximation by algebraic polynomials is considered on function classes characterized by the value of the $k$th generalized modulus of smoothness defined by the Jacobi generalized shift operator.

UDC: 517.5

Received: 17.07.1996

DOI: 10.4213/mzm1299

 English version: Mathematical Notes, 1998, 63:3, 374–383

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