LAUSR

Fractional Smoothness in Lp with Dunkl Weight and Its Applications

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1 Published in 2019 at "Mathematical Notes"

DOI: 10.1134/s0001434619090232

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… read more here.

Keywords: fractional smoothness; weight applications; dunkl; smoothness dunkl ... See more keywords