Some Dynamic Hilbert-Type Inequalities on Time Scales
Ghada AlNemer, Mohammed Zakarya, H. A. Abd El-Hamid, Praveen Agarwal, Haytham M. Rezk
Abstract
Throughout this article, we will demonstrate some new generalizations of dynamic Hilbert type inequalities, which are used in various problems involving symmetry. We develop a number of those symmetric inequalities to a general time scale. From these inequalities, as particular cases, we formulate some integral and discrete inequalities that have been demonstrated in the literature and also extend some of the dynamic inequalities that have been achieved in time scales.
Topics & Concepts
InequalityMathematicsType (biology)Applied mathematicsScale (ratio)Symmetry (geometry)Pure mathematicsMathematical analysisPhysicsGeometryBiologyEcologyQuantum mechanicsMathematical Inequalities and ApplicationsNonlinear Differential Equations AnalysisMatrix Theory and Algorithms