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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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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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..
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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 |
work_keys_str_mv |
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