Open AccessGeneral types of spherical mean operators and $K$-functionals of fractional orders
Author(s) -
T. Jordão,
Xingping Sun
Publication year - 2015
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2015.14.743
Subject(s) - mathematics , spherical mean , class (philosophy) , type (biology) , mathematical analysis , pure mathematics , computer science , ecology , artificial intelligence , biology
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.FAPESP (grants # 2012/25097-4 and # 2011/21300-7