ON THE CONVERGENCE PROPERTIES OF DURRMEYER TYPEEXPONENTIAL SAMPLING SERIES IN (MELLIN) ORLICZ SPACES

Cai Q., Kangal E., Kantar Ü.

JOURNAL OF MATHEMATICAL INEQUALITIES, vol.18, no.3, pp.1135-1152, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.7153/jmi-2024-18-63
  • Journal Name: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1135-1152
  • Keywords: Durrmeyer-type exponential sampling series, kernel function, Mellin band-limited function, modular convergence, Orlicz spaces
  • Gazi University Affiliated: Yes

Abstract

In this study, by using the concept of modular convergence with the help of a suit-able modular functional we obtain main theorem for the (Mellin) Orlicz spacesX eta 0=L phi mu(R+)whose functions don't have to be bounded or continuous. Then we customize our theorems forLp mu(R+)-space andL eta alpha,beta mu(R+)using these results. Finally, examples with graphical representations are given for some Durrmeyer type exponential sampling series with special kernels.