Estimates for the moments of Bernstein polynomials

Autor:	José A. Adell, José M. Quesada, Jorge Bustamante
Rok vydání:	2015
Předmět:	Classical orthogonal polynomials Combinatorics Pure mathematics Rate of convergence Applied Mathematics Discrete orthogonal polynomials Wilson polynomials Orthogonal polynomials Bernstein inequalities Bernstein polynomial Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 432:114-128
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2015.05.020
Popis:	We give various explicit estimates for the moments and the absolute moments of Bernstein polynomials. Asymptotically, such estimates are not far from optimality, specially for high moments. As an application, generalized Voronovskaja's formulae for Bernstein polynomials are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7c23379b0a36b7e310f870cfa1426f54 https://doi.org/10.1016/j.jmaa.2015.05.020 Zobrazit plný text záznamu Full Text from ScienceDirect