Suppose that f:[a,b]→R is a smooth, convex function, and there exists a constant t>0 such that f′(x)≥t for all x∈(a,b). Prove that
|∫baeif(x)dx|≤2t.
The best solution was submitted by Anar Rzayev (KAIST 전산학부 19학번, +4). Congratulations!
Here is the best solution of problem 2023-07.
Other solutions were submitted by 김찬우 (연세대학교 수학과 22학번, +3), 박기윤 (KAIST 새내기과정학부 23학번, +3), 박준성 (KAIST 수리과학과 석박통합과정 22학번, +3), 오현섭 (KAIST 수리과학과 박사과정 21학번, +3), 이명규 (KAIST 전산학과 20학번, +3), 최예준 (서울과학기술대학교 행정학과 21학번, +3), Matthew Seok (+3), James Hamilton Clerk (+3).
GD Star Rating
loading...
loading...