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Generalized Inequalities of Hilbert-Type on Time Scales Nabla Calculus

Mohammed Zakarya, Ghada AlNemer, Ahmed I. Saied, Roqia Butush, Omar Bazighifan, Haytham M. Rezk

2022Symmetry10 citationsDOIOpen Access PDF

Abstract

In this paper, we prove some new generalized inequalities of Hilbert-type on time scales nabla calculus by applying Hölder’s inequality, Young’s inequality, and Jensen’s inequality. Symmetrical properties play an essential role in determining the correct methods to solve inequalities.

Topics & Concepts

Nabla symbolInequalityMathematicsType (biology)Calculus (dental)Pure mathematicsApplied mathematicsMathematical analysisMedicinePhysicsEcologyOmegaQuantum mechanicsBiologyDentistryNonlinear Differential Equations AnalysisMathematical Inequalities and ApplicationsFractional Differential Equations Solutions