Results 11 to 20 of about 1,352,109 (152)

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

open access: yesJournal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon   +4 more
doaj   +2 more sources

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]

open access: yes, 2009
In this note we establish some Hermite-Hadamard type inequalities involving two functions.
Özdemir, M. Emin   +2 more
core   +8 more sources

Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]

open access: yes, 2000
Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core   +6 more sources

Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]

open access: yes, 2005
Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core   +6 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

open access: yes, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru   +2 more
core   +6 more sources

Integral inequalities for some convex functions via generalized fractional integrals

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

open access: yesFractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid   +3 more
doaj   +1 more source

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

open access: yesJournal of Mathematics, 2021
In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf   +3 more
doaj   +1 more source

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

open access: yesAdvances in Difference Equations, 2021
The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi   +5 more
doaj   +1 more source

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

open access: yesFractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş   +3 more
doaj   +1 more source

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