Daily Archives: May 11, 2023

Solution: 2023-07 An oscillatory integral

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).

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