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K-fractional integral inequalities of Hadamard type for (h − m)−convex functions

Ghulam Farid, Atiq Ur Rehman, Qurat Ul Ain

2020Computational methods for differential equations23 citationsDOIOpen Access PDF

Abstract

In this paper, we establish Hadamard type fractional integral inequalities for a more general class of functions that is the class of (h _ m)_convex functions. These results are due to Riemann-Liouville (RL) k-fractional integrals: a generalization of RL fractional integrals. Several known results are special cases of proved results.

Topics & Concepts

MathematicsHadamard transformGeneralizationType (biology)Fractional calculusConvex functionClass (philosophy)Pure mathematicsRegular polygonMathematical analysisGeometryComputer scienceBiologyEcologyArtificial intelligenceMathematical Inequalities and Applications