Approximation for Basakov-Kantorovich-Bézier operators in the space \(L_p[0,\infty)\) (Q2470799)
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| English | Approximation for Basakov-Kantorovich-Bézier operators in the space \(L_p[0,\infty)\) |
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Approximation for Basakov-Kantorovich-Bézier operators in the space \(L_p[0,\infty)\) (English)
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15 February 2008
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The authors establish direct, inverse and equivalence theorem for the Baskakov-Kantorovich- Bézier operators in the space \(L_p[0,+\infty)\), \(1\leq p\leq\infty\). The results are obtained by the first-order of modulus of smoothness of Ditzian-Totik and the corresponding \(K\)-functional.
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direct and inverse theorems
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\(K\)-functional
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modulus of smoothness
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