Photo from archive.org
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… Click to show full 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.
Keywords:
fractional smoothness;
weight applications;
dunkl;
smoothness dunkl;
dunkl weight
Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!