A. G. Babenko, N. V. Dolmatova, Yu. V. Kryakin, “Jackson's exact inequality with a special module of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 4,Pages <nobr>51

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Jackson's exact inequality with a special module of continuity

A. G. Babenko^ab, N. V. Dolmatova^c, Yu. V. Kryakin^c

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University
^c Mathematical Institute, University of Wroclaw

Abstract: Best integral approximations of $B$-splines by trigonometric polynomials are found. An exact inequality of Jackson type with a special module of continuity is found.

Keywords: integral approximations of individual functions by trigonometric polynomials, direct theorems of approximation theory.

UDC: 517.5

Received: 09.02.2012