On the approximation by trigonometric polynomials in weighted Lorentz spaces
Open Access
- 1 January 2010
- journal article
- research article
- Published by Wiley in Journal of Function Spaces
- Vol. 8 (1) , 67-86
Abstract
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.Keywords
Funding Information
- Intas Biopharmaceuticals (Nr 06-1000017-8792, GNSF/ST07/3-169)
- Georgia National Science Foundation (Nr 06-1000017-8792, GNSF/ST07/3-169)
This publication has 3 references indexed in Scilit:
- On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted settingJournal of Inequalities and Applications, 2006
- Littlewood-Paley and Multiplier Theorems on Weighted L p SpacesTransactions of the American Mathematical Society, 1980
- Theory of Approximation of Functions of a Real Variable1963