Results 91 to 100 of about 1,943 (219)

Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex

, 2009
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US, Kirmaci, U. S, Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +4 more
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Improvements of the Hermite-Hadamard inequality [PDF]

Journal of Inequalities and Applications, 2015
The article provides refinements and generalizations of the Hermite-Hadamard inequality for convex functions on the bounded closed interval of real numbers. Improvements are related to the discrete and integral part of the inequality.
openaire   +3 more sources

Some Companions of Fejér's Inequality for Convex Functions

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
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Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality

, 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
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The Hermite–Hadamard inequality in Beckenbach's setting

Journal of Mathematical Analysis and Applications, 2010
Classically, convex functions are characterized geometrically by the property that the graph is sitting above the tangent lines. Beckenbach replaced the tangent lines by a 2-parameter family of continuous functions, requiring that any two distinct points of the plane can be interpolated by a unique member of the family.
openaire   +1 more source

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
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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
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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
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