Abstract
In this paper, we construct the nonlinear form of multidimensional Mellin-type integral operators and improve them using summability methods. We utilize Tonelli sense convergence in ϕ-variation, incorporating the Haar measure into our framework. Additionally, we study the rate of approximation and provide a characterization theorem for functions that are absolutely continuous in the Tonelli sense. Finally, we present illustrations of our approximations to support the theoretical findings.
| Original language | English |
|---|---|
| Pages (from-to) | 25-38 |
| Number of pages | 14 |
| Journal | Dolomites Research Notes on Approximation |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 2025 |
Keywords
- Mellin operators
- characterization of absolute continuity
- convergence in ϕ-variation
- rate of convergence
- summability methods
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