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On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes
Fractal and FractionalIn this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani +3 more
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On Hermite-Hadamard type inequalities [PDF]
, 2015 The main results of this paper over sucient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila
core
Hermite-Hadamard type inequalities for multiplicatively p-convex functions
Journal of Inequalities and Applications, 2023 AbstractIn this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions. We also gave integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively p-convex ...
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Generalized Fractional Integral Inequalities of σ‐Convex Functions
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley +1 more source
Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications
Universal Journal of Mathematics and ApplicationsFractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir +2 more
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On approximate Hermite-Hadamard type inequalities [PDF]
, 2015 The main results of this paper offer sufficient conditions in order that an approximate lower Hermite–Hadamard type inequality implies an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core
Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of Mathematics, Volume 2025, Issue 1, 2025.Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p‐convex functions, and explore their properties.
Sabila Ali +4 more
wiley +1 more source
More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity
Journal of Inequalities and Applications, 2010 New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Farid G +2 more
doaj
Hermite-Hadamard Type Inequalities via ({\alpha},m)- Convexity
, 2010 Comment: This paper is published in Computers & Mathematics with Applications (Volume 61, Issue 9, May 2011, Pages 2614-2620)
Avci, Merve +2 more
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New Hermite–Hadamard-type inequalities for convex functions (I)
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tseng, Kuei-Lin +2 more
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