Results 111 to 120 of about 497,049 (200)

更細緻的Hermite-Hadamard 不等式的研究

, 2017
碩士本論文研究的主要目的是要對Hermite-Hadamard不等式提供更多的答案。The main purpose of this paper is to give more answers to the Hermite-Hadamard inequality§1. Introduction…………………………………………………………………1 §2. Main Results…………………………………………………………………5 §3. Reference…………………………………………………………………
蕭銘竣;Xiao, Ming-Jun
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Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

Some refinements of Hadamard inequality

, 2016
碩士如果 f : I → ℝ 為I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 ≤ 1/(2 ) [f(a)+f(b)] 〗 (1.2 ...
黃維洲;Huang, Wei-Chou
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A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
doaj   +1 more source

Generalized strongly n-polynomial convex functions and related inequalities

Boundary Value Problems
This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored.
Serap Özcan, Mahir Kadakal, İmdat İşcan, Huriye Kadakal   +3 more
doaj   +1 more source

Further refinements of Hermite-Hadamard inequality

, 2016
碩士設 f : 為凸函數(convex function)，其中a, b I, a< b，則下列不等式恆成立 此為廣為人知的Hadamard雙邊不等式。 本文試著就此Hadamard雙邊不等式，建立一些推廣與更細緻的結果。The following double inequality holds for all convex functions on [a, b] is known in the literature as Hermite- Hadamard inequality.
王瑋萱;Wang, Wei-Hsuan
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More refinements of Hermite-Hadamard inequality

, 2016
碩士本文主要針對Hermite-Hadamard不等式建立一些更細緻的結果。The main purpose of this paper is to give some generalizations and refinements of Hermite-Hadamard inequality.中文部分 1. 引言 -------------------------------------------- 1 2. 準備工作 ----------------------------------------
林凡又;Lin, Fan-Yu
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Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications. [PDF]

PLoS One
Iqra I, Nosheen A, Khan KA, Riaz S, Kahungu MK.   +4 more
europepmc   +1 more source

更多更極致的Hadamard不等式

, 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
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