On the approximation by trigonometric polynomials in weighted Lorentz spaces

Autor: Vakhtang Kokilashvili, Yunus E. Yildirir
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Journal of Function Spaces and Applications, Vol 8, Iss 1, Pp 67-86 (2010)
Druh dokumentu: article
ISSN: 0972-6802
DOI: 10.1155/2010/372106
Popis: We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces. In weighted Lorentz spaces Lps, this influence is expressed not only in terms of the parameter p, but also in terms of the second parameter s.
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