Results 11 to 20 of about 5,199 (174)

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]

Entropy, 2023
In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj   +2 more sources

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals [PDF]

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +2 more sources

Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]

Journal of Inequalities and Applications, 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 ...
Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu   +3 more
doaj   +2 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +2 more sources

Integral inequalities for some convex functions via generalized fractional integrals [PDF]

Journal 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   +2 more sources

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]

Journal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
doaj   +2 more sources

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +2 more sources

Weighted version of Hermite-Hadamard type inequalities for geometrically quasi-convex functions and their applications. [PDF]

J Inequal Appl, 2018
Obeidat S, Latif MA.
europepmc   +3 more sources

Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. [PDF]

Springerplus, 2015
Wu SH, Sroysang B, Xie JS, Chu YM.
europepmc   +3 more sources

Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

Fractal and Fractional, 2023
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj   +1 more source