Further Integral Inequalities through Some Generalized Fractional Integral Operators
Abd‐Allah Hyder, Mohamed A. Barakat, Ashraf Fathallah, Clemente Cesarano
Abstract
In this article, we utilize recent generalized fractional operators to establish some fractional inequalities in Hermite–Hadamard and Minkowski settings. It is obvious that many previously published inequalities can be derived as particular cases from our outcomes. Moreover, we articulate some flaws in the proofs of recently affiliated formulas by revealing the weak points and introducing more rigorous proofs amending and expanding the results.
Topics & Concepts
Mathematical proofMathematicsInequalityMinkowski spaceHadamard transformCalculus (dental)Hermite polynomialsFractional calculusPure mathematicsAlgebra over a fieldApplied mathematicsMathematical analysisMathematical physicsMedicineGeometryDentistryMathematical Inequalities and ApplicationsMathematical functions and polynomialsFractional Differential Equations Solutions