2017
Том 69
№ 9

All Issues

On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators

Sukhorolskyi M. A.

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Abstract

We study the order of polynomial approximations of periodic functions on intervals which are internal with respect to the main interval of periodicity and on which these functions are sufficiently smooth. The estimates obtained contain parameters which characterize the smoothness and alternation of signs of nuclear functions and parameters that determine classes of approximated functions.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 5, pp 787-797.

Citation Example: Sukhorolskyi M. A. On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators // Ukr. Mat. Zh. - 1997. - 49, № 5. - pp. 706–714.

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