Some Dynamic Inequalities of Hilbert’s Type
A. M. Ahmed, Ghada AlNemer, Mohammed Zakarya, Haytham M. Rezk
Abstract
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of our results, we will obtain some integrals and their corresponding discrete inequalities of Hilbert’s type.
Topics & Concepts
InequalityMathematicsType (biology)Algebraic numberPure mathematicsLog sum inequalityAlgebra over a fieldMathematical analysisEcologyBiologyNonlinear Differential Equations AnalysisMathematical Inequalities and ApplicationsFractional Differential Equations Solutions