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Some New Copson-Type Inequalities on Time Scales Delta Calculus

Article scientifique 2023 Anglais

Résumé

Abstract In this research, we establish some new generalizations of dynamic inequalities of Copson-type on time scales delta calculus by applying Hölder’s inequality, Minkowski’s inequality, chain rule and the properties of power rules on time scales. As special cases of our results (when T = R), we get the continuous analouges of inequalities that proved by Mohapatra and Vajravelu [8] and when T = N 0 , the results to the best of the authors’knowledge, are essentially new. 2010 Mathematics Subject Classi…cation: 26D10, 26D15, 34N05, 47B38, 39A12.

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Ahmed, A., Saied, A., Rezk, H. (2023). Some New Copson-Type Inequalities on Time Scales Delta Calculus. https://doi.org/10.21203/rs.3.rs-3279444/v1

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Auteur(s)

A. M. Ahmed Ahmed I. Saied Haytham M. Rezk

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