Title of article
On Fourier–Haar coefficients of the function from the Marcinkiewicz space
Author/Authors
Usachev، نويسنده , , Alexandr، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
15
From page
110
To page
124
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 Cesàro summability and the almost convergence of sequences related to Fourier–Haar coefficients and generalise a result from [17]. Some analogues of Mercerʹs theorem for Fourier coefficients are proved.
Keywords
Haar system , Fourier coefficients , Marcinkiewicz spaces , Almost convergence , Mercerיs theorem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564374
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