An elementary proof of Gorny's inequality

DOI10.1017/S0308210500022150zbMath0635.26009OpenAlexW2055772935MaRDI QIDQ3774101

Christian Fabry

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022150

zbMATH Keywords

Chebyshev polynomialsLandau-Kolmogorov type inequalityGorny's inequalityinequalities between the sup-norms of derivatives

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Landau-Kolmogorov inequality on a finite interval ⋮ Periodic solutions of the Brillouin electron beam focusing equation ⋮ Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations

Cites Work

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• Nonlinear Boundary Value Problems and a Priori Bounds on Solutions
• Ramifications of Landau's inequality
• An Elementary Proof of Kolmogorov's Theorem
• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives

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