Approximation by sampling Kantorovich series in weighted spaces of functions

Authors

TUNCER ACAR
OSMAN ALAGÖZ
ALİ ARAL
DANİLO COSTARELLİ
METİN TURGAY
GIANLUCA VINTI

DOI

10.55730/1300-0098.3293

Abstract

This paper studies the convergence of the so-called sampling Kantorovich operators for functions belonging to weighted spaces of continuous functions. This setting allows us to establish uniform convergence results for functions that are not necessarily uniformly continuous and bounded on $\mathbb{R}$. In that context we also prove quantitative estimates for the rate of convergence of the family of the above operators in terms of weighted modulus of continuity. Finally, pointwise convergence results in quantitative form by means of Voronovskaja type theorems have been also established.

Keywords

Generalized sampling series, sampling Kantorovich operators, pointwise and uniform convergence, weighted approximation, asymptotic formulas

First Page

2663

Last Page

2676

Recommended Citation

ACAR, TUNCER; ALAGÖZ, OSMAN; ARAL, ALİ; COSTARELLİ, DANİLO; TURGAY, METİN; and VINTI, GIANLUCA (2022) "Approximation by sampling Kantorovich series in weighted spaces of functions," Turkish Journal of Mathematics: Vol. 46: No. 7, Article 7. https://doi.org/10.55730/1300-0098.3293
Available at: https://journals.tubitak.gov.tr/math/vol46/iss7/7