We find the sharp constant in the Jackson-type inequality between the value of the best approximation of functions by trigonometric polynomials and moduli of continuity of *m*-th order in the spaces *S*^{p}, 1 ≤ *p* < ∞. In the particular case we obtain one result which in a certain sense generalizes the result obtained by L.V. Taykov for *m* = 1 in the space *L*_{2} for the arbitrary moduli of continuity of *m*-th order (*m* Є N).

Periodical:

International Journal of Advanced Research in Mathematics (Volume 8)

Pages:

27-35

Citation:

A. N. Shchitov "On the Jackson-Type Inequality for the Best *S*^{p}-Approximations of Functions by Trigonometric Polynomials", International Journal of Advanced Research in Mathematics, Vol. 8, pp. 27-35, 2017

Online since:

April 2017

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Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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