Results 101 to 110 of about 1,944 (219)
On some refinements of Hermite-Hadamard inequality [PDF]
, 2016 碩士本文的主要目的是利用凸函數的性質、Hadamard不等式與張鈺聆所做的結果，推導出一些比(1.11) ~ (1.28)更細緻的不等式We establih some new inequalities related to the Hermite-Hadamard’s inequality中文部分 1. 緒論…………………………………………………………………………… 1 2. 預備定理 ………………………………………………………………………1 3. 主要結果 …………………………………………………………
陳鈺婷;Chen, Yu-Ting
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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Some refinements of hadamard inequality [PDF]
, 2017 碩士如果 f: [a, b] → ℝ 為[a, b]中的凸函數，則 f((a+b)/2) ≤ 1/(b-a)∫_a^b ▒〖f(x)dx ≤ 1/(2) [f(a)+f(b)]〗 (1.1) 恆成立，為眾所週知的Hermite-Hadamard不等式 如果 f為[a, b]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 ≤ 1/(2) [f(a)+f(b)] 〗 (1.2) 本論文研究的主要目的是為了提供這問題 (1 ...
郭立惪;Kuo, Li-Te
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Variants of the Hermite-Hadamard inequality [PDF]
, 2023 Ovaj rad istražuje ključni pojam konveksnih funkcija u matematičkoj analizi i optimizaciji, s fokusom na Hermitovu-Hadamardovu nejednakost. Cilj rada je proučiti generalizacije Hermite-Hadamardove nejednakosti, procijeniti njihovu preciznost i promjene ...
Margaretić, Ivana
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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.
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一些更精緻的 Hermite-Hadamard 不等式 [PDF]
, 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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The Hermite–Hadamard inequality in Beckenbach's setting
Journal of Mathematical Analysis and Applications, 2010 Classically, convex functions are characterized geometrically by the property that the graph is sitting above the tangent lines. Beckenbach replaced the tangent lines by a 2-parameter family of continuous functions, requiring that any two distinct points of the plane can be interpolated by a unique member of the family.
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一些更精緻的 Hermite-Hadamard 不等式 [PDF]
, 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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Fractal and FractionalThis paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
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Some refinements of Hermite-Hadamard inequalities [PDF]
, 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
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