Approximation Properties of Mellin-Steklov Type Exponential Sampling Series
Functional Analysis
2024-10-15 v1
Abstract
In this paper, we introduce Mellin-Steklov exponential samplingoperators of order , by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded spaces and spaces on By using the suitablemodulus of smoothness, it is given high order of approximation. Further, we present a quantitative Voronovskaja type theorem and we study the convergence results of newly constructed operators in logarithmic weighted spaces offunctions. Finally, the paper provides some examples of kernels that support the our results.
Cite
@article{arxiv.2410.09070,
title = {Approximation Properties of Mellin-Steklov Type Exponential Sampling Series},
author = {D Ozer and S Kursun and T Acar},
journal= {arXiv preprint arXiv:2410.09070},
year = {2024}
}