2017
Том 69
№ 9

All Issues

On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment

Motornyi V. P.

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Abstract

We obtain a correction of an estimate of the approximation of functions from the class W r H ω (here, ω(t) is a convex modulus of continuity such that tω '(t) does not decrease) by algebraic polynomials with regard for the location of a point on an interval.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 8, pp 1270-1284.

Citation Example: Motornyi V. P. On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment // Ukr. Mat. Zh. - 2008. - 60, № 8. - pp. 1087–1098.

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