Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers

碩士 === 淡江大學 === 中等學校教師在職進修數學教學碩士學位班 === 100 === Let f be a convex function on the interval of real numbers and with a<b.The inequalityis well known in the literature as Hermite-Hadamard’s inequality [ 3,P49 ] For several recent results concerning Hermite-Hadamard’s inequality, we refer the int...

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Main Authors: Ming-Hui Sue, 蘇明慧
Other Authors: Gou-Sheng Yang
Format: Others
Language:zh-TW
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/01633883873562884376
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spelling ndltd-TW-100TKU056260022015-10-13T21:27:33Z http://ndltd.ncl.edu.tw/handle/01633883873562884376 Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers 可微函數的一些不等式及其某些平均數的應用 Ming-Hui Sue 蘇明慧 碩士 淡江大學 中等學校教師在職進修數學教學碩士學位班 100 Let f be a convex function on the interval of real numbers and with a<b.The inequalityis well known in the literature as Hermite-Hadamard’s inequality [ 3,P49 ] For several recent results concerning Hermite-Hadamard’s inequality, we refer the interested reader to [1-6], where further references are listed. In [7] Dragomir and Agarwal proved the following lemma. The aim of this paper is to give some generalizations of theorem B and theorem C as well as to apply them to some special means and to trapezoidal formula.. Gou-Sheng Yang 楊國勝 2012 學位論文 ; thesis 37 zh-TW
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description 碩士 === 淡江大學 === 中等學校教師在職進修數學教學碩士學位班 === 100 === Let f be a convex function on the interval of real numbers and with a<b.The inequalityis well known in the literature as Hermite-Hadamard’s inequality [ 3,P49 ] For several recent results concerning Hermite-Hadamard’s inequality, we refer the interested reader to [1-6], where further references are listed. In [7] Dragomir and Agarwal proved the following lemma. The aim of this paper is to give some generalizations of theorem B and theorem C as well as to apply them to some special means and to trapezoidal formula..
author2 Gou-Sheng Yang
author_facet Gou-Sheng Yang
Ming-Hui Sue
蘇明慧
author Ming-Hui Sue
蘇明慧
spellingShingle Ming-Hui Sue
蘇明慧
Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
author_sort Ming-Hui Sue
title Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
title_short Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
title_full Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
title_fullStr Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
title_full_unstemmed Ineqalities for Differentiable Mapping and Applications to Special means of Real numbers
title_sort ineqalities for differentiable mapping and applications to special means of real numbers
publishDate 2012
url http://ndltd.ncl.edu.tw/handle/01633883873562884376
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