Results 61 to 70 of about 47,370 (280)
On some inequality of Hermite-Hadamard type
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal.
Alfred Witkowski, Szymon Wąsowicz
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Refinements on the discrete Hermite–Hadamard inequality [PDF]
In this paper, we use techniques and tools from time scale calculus to state and prove many refinements on the discrete Hermite–Hadamard inequality.
Atıcı, Ferhan M., Yaldız, Hatice
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In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means.
Arshad Iqbal+4 more
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Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions
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+3 more
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On the refinements of the Hermite-Hadamard inequality [PDF]
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+2 more
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Hermite-Hadamard-Fejér inequalities for double integrals
In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane R2. Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping. The inequalities obtained in this study provide generalizations of some result given in earlier works ...
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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Hermite-Hadamard Inequality on Time Scales [PDF]
Abstract We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
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The Hermite Hadamard Inequality on Hypercuboid
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
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A New Hermite-Hadamard inequality for h-convex stochastic processes
Firstly, some new denitions which are the special cases of h convex stochastic proceses are given. Then, we establish a new renement of Hermite- Hadamard inequality for h convex stochastic proceses and give some special cases of this result.
Useyin Budak, M. Sarıkaya
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Post-quantum trapezoid type inequalities
In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved.
Muhammad Amer Latif+3 more
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