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1. New Weighted Opial-Type Inequalities on Time Scales for Convex Functions.

Author

El-Deeb, Ahmed A. and Baleanu, Dumitru

Subjects
*CONVEX functions, *JENSEN'S inequality, *INTEGRAL inequalities, *MATHEMATICAL equivalence
Abstract

Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Hölder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results. [ABSTRACT FROM AUTHOR]

Published
2020
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