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Multivariate φ-Variational Approximation of Mellin-Type Nonlinear Integral Operators via Summability Methods

Year: 2025

Type: article

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.

Source: Dolomites Research Notes on Approximation

DOI: 10.25430/pupj-drna-2025-2-5

Author: Ismail Aslan

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6964091113

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