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arxiv: 1103.1075 · v1 · pith:FCCBBHGTnew · submitted 2011-03-05 · 🧮 math.CA · math.FA

On approximation methods generated by generalized Bochner-Riesz kernels

classification 🧮 math.CA math.FA
keywords approximationbochner-rieszgeneralizedgeneratedkernelsmethodscaseconvergence
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Some sharp results related to the convergence of means and families of operators generated by the generalized Bochner-Riesz kernels are obtained. The exact order of approximation of functions by these methods via $K$-functional (or its realization in the case of the space $L_p$, $0<p<1$) is derived.

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