×

Schur type inequalities for multivariate polynomials on convex bodies. (English) Zbl 1370.41025

Summary: We give sharp Schur type inequalities for multivariate polynomials with generalized Jacobi weights on arbitrary convex domains. In particular, these results yield estimates for norms of factors of multivariate polynomials.

MSC:

41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)
41A63 Multidimensional problems
PDF BibTeX XML Cite
Full Text: EMIS