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一些更精緻的 Hermite-Hadamard 不等式

open access: yes, 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
core  

一些更精緻的 Hermite-Hadamard 不等式

open access: yes, 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
core  

Some refinements of Hermite-Hadamard inequalities

open access: yes, 2015
碩士設f是一個定義在區間I的凸實數函數,其中a,b屬於I,而且a小於b,那麼下面的Hadamard''s不等式成立 這個雙重不等式稱為Hermite-Hadamard''s不等式(或Hadamard''s不等式)。 本文的主要目的是針對Hadamard''s不等式的做一些推廣和建立一些更細緻的結果。Let f be a convex real-valued function defined on an interval I of real numbers (a,b) and with a small ...
李孟儒; Lee, Meng-Ju
core  

A Note on the Ky Fan Inequality

open access: yes, 2002
The Ky Fan inequality is essentially the assertion that t/(1−t) is log-concave.
Florea, Aurelia   +3 more
core  

更多更極致的Hadamard不等式

open access: yes, 2017
碩士若f在[a, b]中為一個凸函數,那麼存在有實數l, L,並使得l, L介於Hadamard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 l, L, such that between the classic Hermite-Hadamard inequality?
洪睿澤;Hung, Jui-Tse
core  

On some inequality of Hermite-Hadamard type

open access: yes, 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.
Alfred Witkowski   +3 more
core   +1 more source

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