Refinements of Hermite-Hadamard Inequality

碩士 === 淡江大學 === 數學學系數學與數據科學碩士班 === 106 === If f:[a, b]→R is convex on [a, b],then f((a+b)/2)≤1/(b-a) ∫_a^bf(x)dx≤(f(a)+f(b))/2 (1.1) is kmown in the literature the Hermite-Hadamard inequality. There is the question that if f is a convex function on [a, b], do there exist real number l and L su...

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Bibliographic Details
Main Authors: Yi-Hua Hung, 洪翊華
Other Authors: Gou-sheng Yang
Format: Others
Language:zh-TW
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/7dwqha