Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex
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 === The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be...
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ndltd-TW-100TKU056260072015-10-13T21:27:34Z http://ndltd.ncl.edu.tw/handle/97152986030613141889 Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex 關於導數為有界的函數的Hermite-Hadamard型不等式的研究 Chin-Yu Hsieh 謝瑾瑜 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 The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula . Gou-Sheng Yang 楊國勝 2012 學位論文 ; thesis 53 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 === The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula .
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author2 |
Gou-Sheng Yang |
author_facet |
Gou-Sheng Yang Chin-Yu Hsieh 謝瑾瑜 |
author |
Chin-Yu Hsieh 謝瑾瑜 |
spellingShingle |
Chin-Yu Hsieh 謝瑾瑜 Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
author_sort |
Chin-Yu Hsieh |
title |
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
title_short |
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
title_full |
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
title_fullStr |
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
title_full_unstemmed |
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex |
title_sort |
inequalities of hermite-hadamard type for functions whose derivatives in absolute values are quasi-convex |
publishDate |
2012 |
url |
http://ndltd.ncl.edu.tw/handle/97152986030613141889 |
work_keys_str_mv |
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