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.
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- Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series
Ukrainian Mathematical Journal
Volume 64, Issue 7 , pp 1090-1108
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