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Direct estimates of the rate of approximation by the Kantorovich operator in variable exponent Lebesgue spaces - MaRDI portal

Direct estimates of the rate of approximation by the Kantorovich operator in variable exponent Lebesgue spaces (Q6552245)

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scientific article; zbMATH DE number 7861952
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Direct estimates of the rate of approximation by the Kantorovich operator in variable exponent Lebesgue spaces
scientific article; zbMATH DE number 7861952

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    Direct estimates of the rate of approximation by the Kantorovich operator in variable exponent Lebesgue spaces (English)
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    8 June 2024
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    In this paper, the authors study the rates of approximation by the Kantorovich operators in variable exponent Lebesgue spaces. They extend known results in the non-variable exponent Lebesgue spaces. The approach applied heavily relies on the boundedness of the Hardy-Littlewood maximal operator.
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    Kantorovich operator
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    Jackson-type estimate
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    direct inequality
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    direct estimate
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    \(K\)-functional
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    variable exponent Lebesgue space
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