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On the Order of Decrease of Uniform Moduli of Smoothness for the Classes of Functions E p,m [ɛ] |
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| Authors: | N A Il'yasov |
| Institution: | (1) Baku State University, Azerbaijan |
| Abstract: | In this paper, we solve the problem of the exact order of decrease of uniform moduli of smoothness for the classes of 2π-periodic functions of several variables with a given majorant of the sequence of total best approximations in the metric of L p , 1 ≤ p < ∞. |
| Keywords: | 2π -periodic function trigonometric polynomial total best approximation modulus of smoothness Bernshtein-Riesz-Zygmund inequality Jackson-Nikol'skii inequality |
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