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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
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Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

Landau's Inequality via Hadamard's

Journal of Symbolic Computation, 1994
For a complex polynomial \(P(z) = a_d \prod^d_{i = 1} (z - \alpha_i) = a_d z^d + \cdots + a_0\) Mahler's measure \(M(P)\) is defined by \(M(P) = |a_d|\prod_{i = 1}^d \max \{1, |\alpha_i|\}\). It has been shown by \textit{E. Landau} [Bull. Soc. Math. Fr.
Maurice Mignotte, Philippe H. Glesser
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New Hadamard-type inequalities for E-convex functions involving generalized fractional integrals

Journal of Inequalities and Applications, 2022
In this article, we establish some new Hadamard-type inequalities for E-convex functions involving generalized fractional integrals. These inequalities include a generalized Hadamard-type inequality and the corresponding right Hadamard-type inequalities ...
Asia Latif, Rashida Hussain
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Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions

Mathematics, 2022
The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan, Jorge E. Macías-Díaz, Savin Treanțǎ, Mohamed S. Soliman   +3 more
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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]

, 2009
We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well.
Ozdemir, M, Özdemir, M. Emin, Sever S. Dragomir, Set, Erhan, MEmin Özdemir, Dragomir, Sever S., Dragomir, Sever S, Set, E, Erhan Set, SeverS Dragomir, M. Emin Özdemir, Ozdemir, Emin   +11 more
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

Journal of Mathematics, 2018
This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar, S. Mohammadi Aslani, M. De La Sen   +2 more
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Generalized Gram–Hadamard inequality [PDF]

Journal of Inequalities and Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constantinescu, Florin (Prof. Dr.), Scharf, Günter   +1 more
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一类矩阵特征值的不等式及其在Fischer不等式证明中的应用(An eigenvalue inequality of a class of matrices and its applications in proving the Fischer inequality)

Zhejiang Daxue xuebao. Lixue ban, 2017
The Hadamard inequality and Fischer inequality play an important role in the matrix study. Many articles have addressed these inequalities providing new proofs, noteworthy extensions, generalizations, refinements, counterparts and applications.
ZHANGHuamin(张华民), YINHongcai(殷红彩)   +1 more
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Hadamard's optimized inequality

Linear Algebra and its Applications, 2021
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Michał Różański, Roman Wituła
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