The diamond integral reverse Hölder inequality and related results on time scales

DOI10.1186/s13662-015-0519-2zbMath1422.26009OpenAlexW1570569548WikidataQ59435081 ScholiaQ59435081MaRDI QIDQ1620741

Guang-Sheng Chen, Cheng-Dong Wei

Publication date: 13 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0519-2

zbMATH Keywords

time scalesHölder inequalityMinkowski inequalitydiamond integralDresher inequality

Mathematics Subject Classification ID

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

Related Items (2)

Periodic solution for neutral-type inertial neural networks with time-varying delays ⋮ Generalizations and refinements of three-tuple diamond-alpha integral Hölder's inequality on time scales

Cites Work

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• Integral inequalities on time scales via the theory of isotonic linear functionals
• Symmetric differentiation on time scales
• The diamond integral on time scales
• 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
• Hahn's symmetric quantum variational calculus
• 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
• Hybrid approximations via second order combined dynamic derivatives on time scales

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