Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616180 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
Abstract
The main objective of the paper is to describe asymptotic behaviour of Fourier-Haar coefficients of functions from Marcinkiewicz spaces. We also discuss the Cesà ro summability and the almost convergence of sequences related to Fourier-Haar coefficients and generalise a result from [17]. Some analogues of Mercer's theorem for Fourier coefficients are proved.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alexandr Usachev,