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Some integral inequalities via (p,q)-calculus on finite intervals

Mevlüt Tunç, Esra Göv

2021Filomat73 citationsDOIOpen Access PDF

Abstract

The aim of this paper is to construct (p,q)-calculus on finite intervals. The (pk,qk)-derivative and (pk,qk)-integral are defined and some basic properties are given. Also, (pk,qk)-analogue of H?lder, Minkowski integral inequalities are proved.

Topics & Concepts

MathematicsCalculus (dental)Minkowski spaceInequalityDerivative (finance)Pure mathematicsAlgebra over a fieldDiscrete mathematicsMathematical analysisGeometryEconomicsMedicineDentistryFinancial economicsMathematical Inequalities and ApplicationsMathematical functions and polynomialsProbabilistic and Robust Engineering Design