Results 21 to 30 of about 5,300 (236)

Quantum Inequalities of Hermite–Hadamard Type for r-Convex Functions

Journal of Mathematics, 2021
In this present study, we first establish Hermite–Hadamard type inequalities for r-convex functions via qκ2-definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two r-convex functions.
Xuexiao You, Hasan Kara, Hüseyin Budak, Humaira Kalsoom   +3 more
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Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second q b $q^{b}$ -derivatives

Advances in Difference Equations, 2021
In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of q b $q^{b}$ -integral. We prove some new inequalities related with right-hand sides of q b $q^{b}$ -Hermite–Hadamard inequalities for differentiable
Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas, Yu-Ming Chu   +3 more
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Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]

Journal of Inequalities and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabil R. Adilov, Serap Kemali
openaire   +3 more sources

Hermite-Hadamard type inequalities with applications [PDF]

Miskolc Mathematical Notes, 2020
Summary: The main objective of this article is to obtain some new estimates related to Hermite-Hadamard-like integral inequalities essentially using the class of \(h\)-convex functions. For this we first derive a new integral identity which will serve as an auxiliary result for obtaining the main results of the article.
Awan, M. U., Noor, M. A., Safdar, F., Islam, A., Mihai, M. V., Noor, K. I.   +5 more
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Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions

Advances in Difference Equations, 2021
The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals.
Fangfang Shi, Guoju Ye, Dafang Zhao, Wei Liu   +3 more
doaj   +1 more source

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj   +1 more source

Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

Fractal and Fractional, 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
doaj   +1 more source

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +1 more source

Inequalities of Hermite-Hadamard Type [PDF]

Moroccan Journal of Pure and Applied Analysis, 2015
AbstractSome inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
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HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS

Journal of Applied Analysis & Computation, 2022
Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Shuhong Wang, Xu-Ran Hai
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