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arXiv · 1812.04946

Fractional smoothness in $L^p$ with Dunkl weight and its applications

D. V. Gorbachev·V. I. Ivanov
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Abstract

We define fractional power of the Dunkl Laplacian, fractional modulus of smoothness and fractional $K$-functional in $L^p$-space with the Dunkl weight. As application, we prove direct and inverse theorems of approximation theory, and some inequalities for entire functions of spherical exponential type in fractional settings.

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BibTeXRIS

D. V. Gorbachev, V. I. Ivanov. 2018-12-10. Fractional smoothness in $L^p$ with Dunkl weight and its applications. https://arxiv.org/abs/1812.04946

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