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Conformable fractional Hermite-Hadamard type inequalities for product of two harmonic 𝑠-convex functions

Badreddine Meftah, Meryem Benssaad, W. Kaidouchi, S. Ghomrani

2021Proceedings of the American Mathematical Society14 citationsDOI

Abstract

In this paper, we establish some conformable fractional Hermite-Hadamard type integral inequalities via harmonic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="s"> <mml:semantics> <mml:mi>s</mml:mi> <mml:annotation encoding="application/x-tex">s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -convexity, and the estimates of the products of two harmonic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="s"> <mml:semantics> <mml:mi>s</mml:mi> <mml:annotation encoding="application/x-tex">s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -convex functions are also considered.

Topics & Concepts

Type (biology)AlgorithmConformable matrixAnnotationHarmonic meanHermite polynomialsMathematicsComputer scienceArtificial intelligencePure mathematicsStatisticsPhysicsEcologyBiologyQuantum mechanicsMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results
Conformable fractional Hermite-Hadamard type inequalities for product of two harmonic 𝑠-convex functions | Litcius