Some refinements of Hadamard Inequality
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 === 104 === If f : [a,b] → ℝ is convex on [a,b], then f((a+b)/2) ≤ 1/(b-a)∫_a^b▒〖f(x)dx ≤ 1/(2) [f(a)+f(b)]〗 (1.1) This is the classical Hermite-Hadamard inequality If f is a convex function on [a,b] , do there exist real numbers l , L such that f((a+b)/2)≤ l ≤1/(...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2016
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| Online Access: | http://ndltd.ncl.edu.tw/handle/79738112630856390245 |