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On Upper Estimations of Hermite–Hadamard Inequalities

Mathematics
Convex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj   +2 more sources

Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]

, 2000
Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core   +6 more sources

Hermite-Hadamard inequalities and their applications. [PDF]

J Inequal Appl, 2018
New Hermite-Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.
Mihai MV, Awan MU, Noor MA, Kim JK, Noor KI.   +4 more
europepmc   +5 more sources

On the Operator Hermite–Hadamard Inequality [PDF]

Complex Analysis and Operator Theory, 2021
The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and mean inequalities will be shown too.
Hamid Reza Moradi, Mohammad Sababheh, Shigeru Furuichi   +2 more
openaire   +2 more sources

Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]

, 2001
Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S, Dutta, J, Rubinov, Alexander M   +2 more
core   +6 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +6 more sources

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

, 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, Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +3 more
core   +6 more sources

Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula

Mathematics, 2022
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj   +1 more source

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj   +1 more source

On the refinements of the Hermite-Hadamard inequality [PDF]

Journal of Inequalities and Applications, 2012
في هذه الورقة، نقدم بعض التحسينات على متباينة هيرميت- هادامارد الكلاسيكية المتكاملة للوظائف المحدبة. علاوة على ذلك، نعطي مفهوم التحدب الأسي n والتحدب اللوغاريتمي للوظائف المرتبطة بالوظائف الخطية التي تحددها هذه المتباينات ونثبت خاصية رتابة وسائل كوشي المعممة التي تم الحصول عليها عبر هذه الوظائف.
Sadia Khalid, Josip ‎Pečarić
openaire   +1 more source