Multivariate inequalities of Chernoff type for classical orthogonal polynomials

DOI10.1016/j.jmaa.2011.11.012zbMath1236.33022OpenAlexW1977125271MaRDI QIDQ662050

Przemysław Rutka, Ryszard Smarzewski

Publication date: 11 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.012

zbMATH Keywords

optimal constantsChernoff-type inequalitiesgeneric differential equationsmultivariate classical orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights

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