Convergence in φ-variation for Mellin-type nonlinear integral operators
Journal of Analysis, vol.32, no.5, pp.2709-2731, 2024 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 32 Issue: 5
- Publication Date: 2024
- Doi Number: 10.1007/s41478-024-00760-1
- Journal Name: Journal of Analysis
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.2709-2731
- 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.