Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
Dumitru Bǎleanu, Muhammad Samraiz, Zahida Perveen, Sajid Iqbal, Kottakkaran Sooppy Nisar, Gauhar Rahman
Abstract
<abstract> In this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems. </abstract>
Topics & Concepts
MathematicsUniquenessType (biology)Function (biology)Mathematical analysisIdentity (music)Fractional calculusPure mathematicsHadamard transformBoundary value problemHermite polynomialsRiemann integralApplied mathematicsIntegral equationFourier integral operatorPhysicsEvolutionary biologyAcousticsBiologyEcologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials