A Sharp Form of the Discrete Hardy Inequality and the Keller–Pinchover–Pogorzelski Inequality
David Krejčiřı́k, František Štampach
Abstract
We give a short proof of a recently established Hardy-type inequality due to Keller, Pinchover, and Pogorzelski together with its optimality. Moreover, we identify the remainder term which makes it into an identity.
Topics & Concepts
RemainderInequalityMathematicsLog sum inequalityIdentity (music)Calculus (dental)Mathematical economicsKantorovich inequalityType (biology)Rearrangement inequalityPure mathematicsLinear inequalityMathematical analysisArithmeticPhilosophyAestheticsMedicineDentistryBiologyEcologyAdvanced Harmonic Analysis ResearchDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysis