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Hermite-Hadamard type inequalities for subadditive functions
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Fractal Approach to Hermite–Hadamard Type Inequalities via Generalized Beta Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The main aim of this manuscript is to explore the connection between fractal geometry and convexity, highlighting the mathematical appeal of fractals. Using the beta function, we introduce a new class of generalized Hermite–Hadamard (HH) type inequalities.
Saad Ihsan Butt +3 more
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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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Generalization and Refinements of Hermite-Hadamard's Inequality
Rocky Mountain Journal of Mathematics, 2005 The Hermite-Hadamard inequality can be easily extended to the case of twice differentiable functions \(f\) with bounded second derivative. Precisely, if \(\gamma\leq f^{\prime\prime} \leq\Gamma,\) then \[ \frac{3S_{2}-2\Gamma}{24}(b-a)^{2}\leq\frac{1}{b-a}\int_{a}^{b}f\,dt-f\left( \frac{a+b}{2}\right) \leq\frac{3S_{2}-2\gamma}{24}(b-a)^{2} \] and ...
Qi, Feng, Wei, Zong-Li, Yang, Qiao
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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The Jensen and Hermite-Hadamard inequality on the triangle
, 2017 We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct the functional form which implies the integral and discrete form of the Jensen inequality, the Fejér, and so the ...
Zlatko Pavić
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On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef +4 more
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Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
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Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals
Mathematics, 2019 In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood +2 more
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A Comprehensive Analysis of Hermite–Hadamard Type Inequalities via Generalized Preinvex Functions [PDF]
, 2021 Muhammad Tariq +5 more
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