Open AccessAlmost everywhere convergence of Cesàro means of two variable Walsh – Fourier series with varying parameteres
Author(s) -
A. A. Abu Joudeh,
György Gát
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i3.196
Subject(s) - fourier series , mathematics , walsh function , series (stratigraphy) , convergence (economics) , function series , variable (mathematics) , operator (biology) , integrable system , pure mathematics , fourier transform , function (biology) , locally integrable function , almost everywhere , type (biology) , mathematical analysis , paleontology , biochemistry , chemistry , ecology , repressor , evolutionary biology , gene , transcription factor , economics , biology , economic growth
UDC 517.5We prove that the maximal operator of some means of cubical partial sums of two variable Walsh – Fourier series of integrable functions is of weak type . Moreover, the -means of the function converge a.e. to for , where is the Walsh group for some sequences .