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

Authors : Danilo COSTARELLI, Gianluca VINTI

Pages : 8-14

Doi:10.33205/cma.484500

View : 19 | Download : 10

Publication Date : 2019-03-01

Article Type : Research Paper

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