General types of spherical mean operators and K-functionals of fractional orders
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.
Bochner-Riesz means, Fourier multiplier, K-funcional, Laplacians of fractional order, Spherical means
Jordão, Thaís, and Xingping Sun. "General types of spherical mean operators and $ K $-functionals of fractional orders." Communications on Pure & Applied Analysis 14, no. 3 (2015): 743.
Communications on Pure and Applied Analysis