Several 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 === 103 === If f : I → ℝ is convex on I, 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 I , do there exist real numbers l , L such that f((a+b...
| Main Authors: | , |
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/06966273601391822071 |