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• W4387046907 abstract "Abstract In the present paper we study the perturbed sampling Kantorovich operators in the general context of the modular spaces. After proving a convergence result for continuous functions with compact support, by using both a modular inequality and a density approach, we establish the main result of modular convergence for these operators. Further, we show several instances of modular spaces in which these results can be applied. In particular, we show some applications in Musielak–Orlicz spaces and in Orlicz spaces and we also consider the case of a modular functional that does not have an integral representation generating a space, which can not be reduced to previous mentioned ones." @default.
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• W4387046907 date "2023-09-26" @default.
• W4387046907 modified "2023-09-27" @default.
• W4387046907 title "Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces" @default.
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• W4387046907 doi "https://doi.org/10.1007/s00025-023-02015-0" @default.
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