A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces

Year 2019, Volume: 2 Issue: 1, 8 - 14, 01.03.2019

Danilo Costarellı , Gianluca Vıntı

https://doi.org/10.33205/cma.484500

Cited By: 9

Abstract

In the present paper we establish a quantitative estimate for the sampling Kantorovich operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the modular functional. At the end of the paper, concrete examples are discussed, both for what concerns the kernels of the above operators, as well as for some concrete instances of Orlicz spaces.

Keywords

Sampling Kantorovich series, Orlicz spaces, Modulus of continuity, Quantitative estimates, Kernels

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