Titlebook: Approximation Theory and Harmonic Analysis on Spheres and Balls; Feng Dai,Yuan Xu Book 2013 Springer Science+Business Media New York 2013

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O. Lubarsch,R. Ostertag,F. Roulet, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on . is described by the modulus of smoothness, defined via the forward differen

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O. Lubarsch,R. Ostertag,W. H. Stefko on the sphere is replaced by a family of weighted measures invariant under a finite reflection group, and the Laplace operator is replaced by a sum of squares of Dunkl operators, a family of commuting first-order differential–difference operators. Our goal is to lay the foundation for developing we

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