Ramifications of Landau's inequality

DOI10.1017/S0308210500012129zbMath0453.26007OpenAlexW1999018307MaRDI QIDQ3900287

Man Kam Kwong, Anton Zettl

Publication date: 1980

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/s0308210500012129

zbMATH Keywords

integral inequalitiesLandau's inequality in Lp

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

Related Items (13)

Landau's inequality ⋮ On a class of new integral inequalities ⋮ Extremals in Landau's inequality for the difference operator ⋮ An elementary proof of Gorny's inequality ⋮ Discrete and shift Kolmogorov type inequalities ⋮ A survey of some norm inequalities ⋮ Generalizations of the Landau–Hadamard inequality and inequalities for quadratic polynomials of operators ⋮ Hadamard–Landau inequalities in uniformly convex spaces ⋮ Dissipative operators and series inequalities ⋮ Weighted Landau inequalities ⋮ Norm inequalities of product form in weighted L^p spaces ⋮ Bounds for the best constant in Landau/s inequality on the line ⋮ Sufficient conditions for weighted inequalities of sum form

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on best constants for norm inequalities among powers of an operator
• Functions of exponential type
• Some remarks on inequalities of Landau and Kolmogorov
• Dissipative operator versions of some classical inequalities
• Note on Hille's question
• On the integro-differential inequality \(\| f' \| {2 \atop 2} \leq K \| f \| _p \| f \| _q\)
• On an inequality of Hardy, Littlewood, and Pólya
• On the Landau-Kallman-Rota inequality
• Some inequalities associated with certain ordinary differential operators
• Über eine beste Ungleichung zwischen den Normen von f, f', f
• Contribution à l'étude des fonctions dérivables d'une variable réelle
• Remarks on strongly elliptic partial differential equations
• One-sided inequalities for the successive derivatives of a function
• On an integral inequality
• On two integral inequalities
• On two inequalities of Brodlie and Everitt
• On a Class of Integral Inequalities
• Inequalities and Separation for Certain Ordinary Differential Operators
• SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
• An Elementary Proof of Kolmogorov's Theorem
• ON THE INEQUALITY │f″│²≤ K│f││f⁽⁴⁾│
• Analytic Inequalities
• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives

This page was built for publication: Ramifications of Landau's inequality