General Types of Spherical Mean Operators and K-Functionals of Fractional Orders
Abstract
We design a general type of spherical mean operators and employ them to approximate Lp class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.3934/cpaa.2015.14.743
Keywords
Bochner-Riesz means, Fourier multiplier, K-funcional, Laplacians of fractional order, Spherical means
Publication Date
2015
Recommended Citation
Jordão, Thaís, and Xingping Sun. "General types of spherical mean operator and K-functionals of fractional orders." Livro de Resumos do IX ENAMA (2015): 83.
Journal Title
Livro de Resumos do IX ENAMA
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