Extremal problems, inequalities, and classical orthogonal polynomials.

DOI10.1016/S0096-3003(01)00070-4zbMath1085.33007MaRDI QIDQ1855668

Ravi P. Agarwal, Gradimir V. Milovanović

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Markov-Bernstein inequalityWeight functionDifferential equationLandau inequalityInequalitiesExtremal problemsCharacterizationNormClassical orthogonal polynomialsKolmogoroff type polynomial inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Research exposition (monographs, survey articles) pertaining to special functions (33-02)

Related Items (13)

On the best constants in Markov-type inequalities involving Laguerre norms with different weights ⋮ Complete solution of the electrostatic equilibrium problem for classical weights ⋮ Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ Efficient numerical methods for analysis of square ratio of \(\kappa-\mu\) and \(\eta-\mu\) random processes with their applications in telecommunications ⋮ Difference inequalities and barycentric identities for classical discrete iterated weights ⋮ Multivariate inequalities of Chernoff type for classical orthogonal polynomials ⋮ Inequalities of Chernoff type for finite and infinite sequences of classical orthogonal polynomials ⋮ Gauss-Hermite interval quadrature rule ⋮ Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms ⋮ Note on an inequality of Vicente Gonçalves ⋮ 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 ⋮ The Scientific Work of Gradimir V. Milovanović

Cites Work

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• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
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• On a polynomial inequality of Kolmogoroff’s type
• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives
• Eine Bemerkung über die Charakterisierung der „klassischen” orthogonalen Polynome

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