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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Main Authors: Chin-Yu Hsieh, 謝瑾瑜
Other Authors: Gou-Sheng Yang
Format: Others
Language:zh-TW
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/97152986030613141889
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spelling 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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language zh-TW
format Others
sources NDLTD
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 === 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 .
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
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AT xièjǐnyú guānyúdǎoshùwèiyǒujièdehánshùdehermitehadamardxíngbùděngshìdeyánjiū
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