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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Bibliographic Details
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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Summary: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 .