On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals
Saima Rashid, Fahd Jarad, Humaira Kalsoom, Yu‐Ming Chu
Abstract
Abstract In this paper, we introduce the generalized k -fractional integral in terms of a new parameter $k>0$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi><mml:mo>></mml:mo><mml:mn>0</mml:mn></mml:math> , present some new important inequalities of Pólya–Szegö and Čebyšev types by use of the generalized k -fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.
Topics & Concepts
MathematicsType (biology)Partial differential equationOrdinary differential equationFractional calculusOperator (biology)Applied mathematicsMathematical analysisDifferential equationChemistryGeneRepressorEcologyTranscription factorBiochemistryBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis