Opial-type inequalities for diamond-alpha derivatives and integrals on time scales

DOI10.1007/s12591-010-0006-xzbMath1205.26049OpenAlexW2125534507MaRDI QIDQ609443

Oktay Duman, Martin J. Bohner

Publication date: 30 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-010-0006-x

zbMATH Keywords

dynamic equationtime scaledelta derivativeOpial's inequalitydiamond-alpha derivativenabla derivative

Mathematics Subject Classification ID

Additive difference equations (39A10) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items

Novel diamond alpha Bennett-Leindler type dynamic inequalities and their applications ⋮ Generalization of Mitrinović-Pečarić inequalities on time scales ⋮ Generalized diamond-\(\alpha\) dynamic Opial inequalities ⋮ Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations ⋮ Diamond alpha Hardy-Copson type dynamic inequalities ⋮ Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications ⋮ Diamond-\(\alpha\) weighted Ostrowski type and Grüss type inequalities on time scales ⋮ Higher dimensions opial diamond-alpha inequalities on time scales ⋮ Generalizations of Hölder inequality and some related results on time scales ⋮ Some Opial-type inequalities with higher order delta derivatives on time scales

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