, Volume 64, Issue 7, pp 1090-1108
Date: 27 Nov 2012

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

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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.

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 7, pp. 954–969, July, 2012.