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Further refinements of Hermite-Hadamard inequality
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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A note on the permanental Hadamard inequality
An elementary proof of the permanental Hadamard inequality is given.
Bapat, R. B.
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Improvements of the Hermite-Hadamard inequality for the simplex. [PDF]
Pavić Z.
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On some refinements of Hermite-Hadamard inequality
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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Refinements on the discrete Hermite–Hadamard inequality
WOS:000437470500002In this paper, we use techniques and tools from time scale calculus to state and prove many refinements on the discrete Hermite-Hadamard ...
Ferhan M. Atıcı +3 more
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A version of Hermite-Hadamard-Mercer inequality and associated results
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 +5 more
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The Cartesian product of two copies of a normed space is naturally equipped with the well-known p-norm. In this paper, another notion of norm is introduced, and will be called the p-HH-norm. This norm is an extension of the generalised logarithmic mean
Dragomir, Sever S, Kikianty, Eder
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Generalized strongly n-polynomial convex functions and related inequalities
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 +3 more
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On an Open Problem by Feng Qi Regarding an Integral Inequality
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
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Hermite - Hadamard Inequality [PDF]
U ovom završnom radu upoznat ćemo se s Hermite-Hadamardovom nejednakošću za konveksne funkcije. Povezat ćemo konveksne funkcije s raznim klasama funkcija. Kroz cijeli rad bavit ćemo se generalizacijom Hermite-Hadamardove nejednakosti na nekoliko klasa
Maglić, Matej
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