Inequalities of Hardy type and generalizations on time scales

DOI10.1515/anly-2017-0006zbMath1384.26046OpenAlexW2789933706MaRDI QIDQ1743334

Ravi P. Agarwal, Donal O'Regan, Mahmoud M. Osman, Samir H. Saker

Publication date: 13 April 2018

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2017-0006

zbMATH Keywords

time scalesconvex functionsJensen inequalityHardy inequalityBennett inequalityCopson inequalityLeindler inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Differential inequalities involving functions of a single real variable (34A40) Inequalities involving derivatives and differential and integral operators (26D10) Dynamic equations on time scales or measure chains (34N05)

Related Items (13)

Some new discrete Copson-type inequalities involving a generalized Riesz mean operator ⋮ Novel diamond alpha Bennett-Leindler type dynamic inequalities and their applications ⋮ On a new class of dynamic Hardy-type inequalities and some related generalizations ⋮ Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations ⋮ Diamond alpha Hardy-Copson type dynamic inequalities ⋮ Hardy–Copson type inequalities for nabla time scale calculus ⋮ Some characterizations of dynamic weighted Hardy-type inequalities with applications ⋮ Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications ⋮ Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales ⋮ Two weighted norm dynamic inequalities with applications on second order half-linear dynamic equations ⋮ Some extended nabla and delta Hardy-Copson type inequalities with applications in oscillation theory ⋮ Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities ⋮ Higher integrability theorems on time scales from reverse Hölder's inequalities

Cites Work

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• Time scales Hardy-type inequalities via superquadracity
• Some Hardy type integral inequalities
• Dynamic inequalities of Hardy and Copson type on time scales
• Littlewood and Bennett inequalities on time scales
• A generalization of an inequality of Hardy
• Multidimensional Hardy-type inequalities with general kernels
• Relations between Gehring classes and Muckenhoupt classes via the Hardy operator
• Levinson type inequalities and their extensions via convexity on time scales
• A note on the Gurov-Reshetnyak condition.
• On Carleman and Knopp's inequalities.
• Generalizations of an inequality of Hardy
• Hardy inequality on time scales and its application to half-linear dynamic equations
• Hardy Type Inequalities on Time Scales
• MULTIDIMENSIONAL HARDY-TYPE INEQUALITIES VIA CONVEXITY
• SOME ELEMENTARY INEQUALITIES
• 13.—Some Integral Inequalities
• Higher order dynamic inequalities on time scales
• Some new generalized forms of Hardy's type inequality on time scales
• Hardy-type inequalities via convexity
• Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales
• Some dynamic Hardy-type inequalities with general kernel
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function

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