A functional generalization of diamond-\(\alpha \) integral Hölder's inequality on time scales

DOI10.1016/J.AML.2010.05.013zbMath1196.26038OpenAlexW2001535337MaRDI QIDQ990791

Wengui Yang

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.05.013

zbMATH Keywords

Hölder's inequalitydiamond-\(\alpha \) integralfunctional generalization

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Real analysis on time scales or measure chains (26E70)

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Cites Work

• Some generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky inequalities involving four free parameters and their applications
• An exploration of combined dynamic derivatives on time scales and their applications
• Notes on the diamond-\(\alpha\) dynamic derivative on time scales
• Diamond-\(\alpha \) Jensen's inequality on time scales
• Extensions of certain integral inequalities on time scales
• A generalization of the Cauchy-Schwarz inequality with eight free parameters
• A functional generalization of the Cauchy-Schwarz inequality and some subclasses
• Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
• The diamond-alpha Riemann integral and mean value theorems on time scales
• Analytic Inequalities

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