Results 91 to 100 of about 1,292 (179)

On exponentially (h1, h2)-convex functions and fractional integral inequalities related [PDF]

Mathematica Moravica, 2020
In this work the concept of exponentially (h1, h2)-convex function is introduced and using it, the Hermite-Hadamard inequality and some bounds for the right side of this inequality, via Raina's fractional integral operator and generalized convex ...
Vivas-Cortez Miguel, Eliecer Hernández Hernández Jorge, Turhan Sercan   +2 more
doaj  

Some Integral Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya, samet Erden, Hüseyin Budak   +2 more
doaj   +2 more sources

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
doaj   +1 more source

Generalized strongly n-polynomial convex functions and related inequalities

Boundary Value Problems
This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored.
Serap Özcan, Mahir Kadakal, İmdat İşcan, Huriye Kadakal   +3 more
doaj   +1 more source

Convex functions and the Hadamard inequality

, 1994
Summary: The Hadamard inequality is proven without resorting to any properties of the derivative. Only the convexity of the function in a closed interval is needed. Furthermore, if the existence of the integral is assumed, then the convexity requirement is weakened to convexity in the sense of Jensen.
openaire   +2 more sources

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

Engineering and Applying Quantum Contextuality. [PDF]

Entropy (Basel)
Pavičić M.
europepmc   +1 more source

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source