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Uniform bounds of Popoviciu’s difference via weighted Hadamard inequality with applications
Miskolc Mathematical NotesWe consider differences coming from Popoviciu’s inequality and give upper and lower bounds by employing weighted Hermite-Hadamard inequality along with the approximations of Fink’s two point formula. We testify this scenario by utilizing the theory of nn≥
Tahir Rasheed +4 more
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, 2017 碩士本文中均假設 I = [a, b]，f為I上的函數： 若f : I → ℝ為I中的凸函數，則 f((a+b)/2)≤1/(b-a)∫_a^b▒〖f(x)dx≤(f(a)+f(b))/2 〗, (1.1) 恆成立，為眾所週知的Hermite-Hadamard不等式。 若f為I中的凸函數，是否存在實數 l 及L 滿足下列不等式： f((a+b)/2)≤l≤1/(b-a)∫_a^b▒〖f(x)dx≤L≤(f(a)+f(b))/2〗, (1.2) 本論文研究的主要目的，是為了提供問題 (1.2)更多的答案 ...
郭妙霓;Guo, Miao-Ni
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On Quasi Convex Functions and Hadamard's Inequality
, 2003 In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi- convex functions, Wright-convex functions and Wright-quasi-convex ...
Yang, Gou-Sheng +2 more
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Minkowski inequality in Cartan-Hadamard manifolds
, 2023 Using harmonic mean curvature flow, we establish a sharp Minkowski type lower bound for total mean curvature of convex surfaces with a given area in Cartan-Hadamard 3-manifolds.
Spruck, Joel, Ghomi, Mohammad
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Jensen's Inequality for Quasiconvex Functions
, 2009 Some inequalities of Jensen type and connected results are given for quasiconvex functions on convex sets in real linear ...
Pearce, Charles E. M, Dragomir, Sever S
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, 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?
李小娟;Li, Hsiao-Chuan
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A Weighted Interpolation for Jensen’s Integral Inequality and Some Converse Results
, 2001 A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are ...
Pearce, Charles +2 more
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Discrete Fractional Hermite-Hadamard Inequality
, 2017 This thesis is comprised of three main parts: The Hermite-Hadamard inequality on discrete time scales, the fractional Hermite-Hadamard inequality, and Karush-Kuhn- Tucker conditions on higher dimensional discrete domains. In the first part of the thesis,
Arslan, Aykut
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Approximate Hermite-Hadamard inequality
, 2014 The main results of this paper offer sufficient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]
Commun Appl Math Comput, 2023 Wang Z.
europepmc +1 more source