Results 71 to 80 of about 1,893 (179)

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex

, 2009
In this note we obtain some inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex.
Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +2 more
core  

Generalizations and Refinements of Hermite-Hadamard's Inequality

, 2001
In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
core  

On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions

Mathematics, 2019
In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam, Jessada Tariboon, Sotiris K. Ntouyas, Kamsing Nonlaopon   +3 more
doaj   +1 more source

Several refinements of Hermite-Hadamard inequality

, 2018
碩士若f在[a,b]中為一個凸函數，那麼存在有實數k,K使得 k,K介於阿達瑪不等式的不等號中間嗎? 這個論文主要研究目的就是去找出更多這樣的答案。If f is convex function on [a,b],do there exist real numbers k,K,such that between the classic Hermite-Hadamard inequality?
卓羿廷;Jhuo, Yi-Ting
core  

Generalized multiplicative h-fractional integrals and derivatives with Hermite-Hadamard inequality

Journal of Inequalities and Applications
In this study, we introduce new generalized multiplicative h-fractional integral and h-fractional derivative operators by employing multiplicative calculus within the framework of fractional analysis.
Umut Bas, Huseyin Yildirim
doaj   +1 more source

Refinements of the Hermite-Hadamard Inequality for Convex Functions

, 2015
[[abstract]]Some refinements of the Hermite-Hadamard integral inequality for convex functions and applications for special means are ...
Dragomir,S. S.
core  

On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes

Fractal and Fractional
In this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani, Raouf Fakhfakh, Ghadah Alomani, Badreddine Meftah   +3 more
doaj   +1 more source

更細緻的Hermite-Hadamard 不等式的研究

, 2017
碩士本論文研究的主要目的是要對Hermite-Hadamard不等式提供更多的答案。The main purpose of this paper is to give more answers to the Hermite-Hadamard inequality§1. Introduction…………………………………………………………………1 §2. Main Results…………………………………………………………………5 §3. Reference…………………………………………………………………
蕭銘竣;Xiao, Ming-Jun
core  

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]

PLoS One, 2023
Guo J, Zhu X, Li W, Li H.
europepmc   +1 more source