This article is cited in 1 paper

The multidimensional Jackson theorem in $L_p$

N. N. Pustovoitov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: This article considers the best approximation of a periodic function of several real variables by trigonometric polynomials with hyperbolic-cross harmonics. Theorems are proved on upper bounds for the indicated best approximation in terms of the modulus of continuity of the given function.

UDC: 517

Received: 27.06.1991

 English version: Mathematical Notes, 1992, 52:1, 709–716

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