Convergence in φ-variation for Mellin-type nonlinear integral operators

ASLAN İ.

Journal of Analysis, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1007/s41478-024-00760-1
  • Journal Name: Journal of Analysis
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: 26A45, 26D15, 40A25, 41A25, 41A35, Convergence in φ-variation, Mellin-type operators, Summability process, φ-absolutely continuous functions
  • Hacettepe University Affiliated: No

Abstract

In the present paper, we examine Mellin-type nonlinear integral operators equipped with the Haar measure. Using φ-absolutely continuous functions, we obtain some approximations via summability process. Order of convergence is also observed. In addition, we have a general characterization theorem for φ-absolutely continuous functions. Finally, we give an application of our study with some illustrations and numerical computations.