A new characterization of Hermite polynomials

DOI10.1007/BF01956321zbMath0612.33008MaRDI QIDQ1088037

A. K. Varma

Publication date: 1987

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Hermite polynomialLandau inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Best constants in approximation theory (41A44)

Related Items (7)

Weighted Laudau-type inequalities ⋮ On a polynomial inequality of Kolmogoroff’s type ⋮ Inequalities for trigonometric polynomials ⋮ Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ On exact inequalities of Hardy-Littlewood-Pólya type ⋮ Extremal problems, inequalities, and classical orthogonal polynomials.

Cites Work

• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives
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