On approximation of functions by trigonometric polynomials with incomplete spectrum in Lp, 0 < p < 1 |
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Authors: | Yu. S. Kolomoitsev |
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Affiliation: | 1.Institute of Applied Mathematics of NAS,Donetsk,Ukraine |
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Abstract: | Let B be a set of integers with certain arithmetic properties. We obtain estimates of the best approximation of functions in the space L p , 0 < p <1, by trigonometric polynomials that are constructed by the system {eikx}k ? mathbbZB {e^{ikx}}_{kin mathbb{Z}backslash B} . Bibliography: 13 titles. |
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