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New Hermite-Hadamard-Type Inequalities for Uniformly Convex Functions

Axioms
In this paper a new Hermite-Hadamard-type inequality for uniformly convex functions is established and several consequences from it in connection with the integral mean are derived. Then a refined version of Hermite-Hadamard-type inequality for uniformly
Somayeh Mirzadeh, Hasan Barsam, Loredana Ciurdariu   +2 more
doaj   +1 more source

An inequality for the integral means of a Hadamard product [PDF]

Proceedings of the American Mathematical Society, 1988
Motivated by Colzani’s paper [ 1 ] we prove that \[ M
openaire   +2 more sources

Generalization and Refinements of Hermite-Hadamard's Inequality

Rocky Mountain Journal of Mathematics, 2005
The Hermite-Hadamard inequality can be easily extended to the case of twice differentiable functions \(f\) with bounded second derivative. Precisely, if \(\gamma\leq f^{\prime\prime} \leq\Gamma,\) then \[ \frac{3S_{2}-2\Gamma}{24}(b-a)^{2}\leq\frac{1}{b-a}\int_{a}^{b}f\,dt-f\left( \frac{a+b}{2}\right) \leq\frac{3S_{2}-2\gamma}{24}(b-a)^{2} \] and ...
Qi, Feng, Wei, Zong-Li, Yang, Qiao
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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   +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  

Hermite-Hadamard Inequality on Time Scales [PDF]

Journal of Inequalities and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalization of Hadamard’s inequality for convex functions

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 refinements of hadamard inequality

, 2017
碩士如果 f: [a, b] → ℝ 為[a, b]中的凸函數，則 f((a+b)/2) ≤ 1/(b-a)∫_a^b ▒〖f(x)dx ≤ 1/(2) [f(a)+f(b)]〗 (1.1) 恆成立，為眾所週知的Hermite-Hadamard不等式 如果 f為[a, b]中的凸函數，是否存在實數 l及 L滿足下列不等式： f((a+b)/2)≤ l ≤1/(b-a )∫_a^b▒〖f(x)dx ≤ L ≤ 1/(2) [f(a)+f(b)] 〗 (1.2) 本論文研究的主要目的是為了提供這問題 (1 ...
郭立惪;Kuo, Li-Te
core  

New Inequalities of Hermite-Hadamard Type for Functions Whose Second Derivatives Absolute Values are Quasi-Convex [PDF]

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