2017
Том 69
№ 6

All Issues

Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series

Kotova O. V., Trigub R. M.

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Abstract

By using an exact estimate for approximation by known trigonometric polynomials, we strengthen a Jackson-type theorem. Moreover, we determine the exact order of approximation of some periodic functions by these polynomials. For this purpose, we introduce a special modulus of smoothness.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 7, pp 1090-1108.

Citation Example: Kotova O. V., Trigub R. M. Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series // Ukr. Mat. Zh. - 2012. - 64, № 7. - pp. 954-969.

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