Results 11 to 20 of about 10,446 (248)
Old and New on the Hermite-Hadamard Inequality [PDF]
Real Analysis Exchange, 2004 This paper is a survey of the results grown up from the Hermite-Hadamard inequality. Both, old and new results are presented, complemented and discussed within this framework. The Hermite-Hadamard inequality is presented in connection with subdifferentials and quadrature formulae; some improvements of it are discussed. Then a short account on classical
Constantin P. Niculescu +1 more
semanticscholar +6 more sources
The Hermite–Hadamard Inequality in Higher Dimensions [PDF]
The Journal of Geometric Analysis, 2018 The Hermite–Hadamard inequality states that the average value of a convex function on an interval is bounded from above by the average value of the function at the endpoints of the interval. We provide a generalization to higher dimensions: let $$\Omega \
S. Steinerberger
semanticscholar +5 more sources
On some inequality of Hermite-Hadamard type [PDF]
Opuscula Mathematica, 2011 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.
Wasowicz, Szymon, Witkowski, Alfred
core +5 more sources
Applications of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2016 We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.
M. Nowicka, A. Witkowski
semanticscholar +5 more sources
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.
Zlatko Pavić
semanticscholar +4 more sources
The Jensen and Hermite-Hadamard inequality on the triangle [PDF]
Journal of Mathematical Inequalities, 2017 We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct the functional form which implies the integral and discrete form of the Jensen inequality, the Fejér, and so the ...
Zlatko Pavić
semanticscholar +4 more sources
Some new inequalities of Hermite-Hadamard's type
Kyungpook mathematical journal, 2010 In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Saglam, A. +2 more
core +5 more sources
Refinements on the discrete Hermite–Hadamard inequality [PDF]
Arabian Journal of Mathematics, 2018 In this paper, we use techniques and tools from time scale calculus to state and prove many refinements on the discrete Hermite–Hadamard inequality.
F. Atici, H. Yaldiz
semanticscholar +4 more sources
On weighted generalization of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2015 The results obtained in this paper are a correction of the main results obtained in [14], for which we also give an alternative proof and improvement. We also study some new monotonic conditions under which various generalizations of the Hermite-Hadamard
R. Jaksic +2 more
semanticscholar +5 more sources
Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of MathematicsConvex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali +3 more
doaj +2 more sources