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- W2960875503 abstract "We investigate the approximation properties of the functions by trigonometric polynomials in weighted Lorentz spaces with weights satisfying so called Muckenhoupt's Ap condition. Relations between moduli of smoothness of the derivatives of the functions and those of the functions itself are studied. In weighted Lorentz spaces we also prove a theorem on the relationship between the derivatives of a polynomial of best approximation and the best approximation of the function. Moreover, we study relationship between modulus of smoothness of the function and its de la Vallee-Poussin sums in these spaces." @default.
- W2960875503 created "2019-07-23" @default.
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- W2960875503 date "2016-12-01" @default.
- W2960875503 modified "2023-09-24" @default.
- W2960875503 title "On moduli of smoothness and approximation by trigonometric polynomials in weighted Lorentz spaces" @default.
- W2960875503 hasPublicationYear "2016" @default.
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