Results 11 to 20 of about 6,381 (249)

Hermite-Hadamard type inequalities for fractional integrals via Green's function. [PDF]

open access: yesJ Inequal Appl, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Adil Khan M, Iqbal A, Suleman M, Chu YM.
europepmc   +4 more sources

Refinements of quantum Hermite-Hadamard-type inequalities [PDF]

open access: yesOpen Mathematics, 2021
Abstract In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Ali, Muhammad Aamir   +3 more
doaj   +7 more sources

Generalized Hermite-Hadamard type inequalities involving fractional integral operators. [PDF]

open access: yesJ Inequal Appl, 2017
In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are
Set E, Noor MA, Awan MU, Gözpinar A.
europepmc   +5 more sources

Some generalizations of Hermite-Hadamard type inequalities. [PDF]

open access: yesSpringerplus, 2016
Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.
Rostamian Delavar M, De La Sen M.
europepmc   +5 more sources

Hermite–Hadamard–Fejér type inequalities forp-convex functions

open access: yesArab Journal of Mathematical Sciences, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, Imdat İşcan
exaly   +4 more sources

Some Hermite-Hadamard type inequalities for harmonically s-convex functions. [PDF]

open access: yesScientificWorldJournal, 2014
We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Chen F, Wu S.
europepmc   +3 more sources

Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]

open access: yesJ Inequal Appl, 2018
In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function.
Mohammed PO, Mohammed PO, Sarikaya MZ.
europepmc   +3 more sources

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

open access: yesJournal of Function Spaces, 2018
We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan   +3 more
doaj   +3 more sources

Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second q b $q^{b}$ -derivatives

open access: yesAdvances 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   +3 more
doaj   +2 more sources

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

open access: yesJournal 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   +3 more
doaj   +2 more sources

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