Abstract
In this paper, we obtain Jackson type theorem of approximation by truncated max-product sampling Kantorovich operators in \(L^p\) spaces. Our results generalize those of Coroianu et al. (Anal Appl 19:219–244, 2021) and Coroianu and Gal (J Integral Equat Appl 29:349–364, 2017). We use the equivalence between the \(K-\)functional and the modulus of continuity of f, and the Hardy–Littlewood maximal function as the main tools in the proofs, and also give some examples to apply the main result.
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The second author is is partially supported by National Natural Science Foundation of China (NSFC12271133).
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Jin, M., Yu, D. & Zhou, P. Approximation by Truncated Max-Product Sampling Kantorovich Operators in \(L^p\) Spaces. Results Math 79, 31 (2024). https://doi.org/10.1007/s00025-023-02067-2
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DOI: https://doi.org/10.1007/s00025-023-02067-2