부등식의 대수, 해석, 기하학적 증명
- 발행기관 군산대학교
- 발행년도 2016
- 학위수여년월 2016. 8
- 학위명 석사
- 학과 및 전공 도움말 교육대학원 교육학과(수학)
- 실제URI http://www.dcollection.net/handler/kunsan/000000008544
- 본문언어 한국어
초록/요약 도움말
In this thesis we consider various inequalities such as arithmetic –geometric inequality and its weighted version, Cauchy-Schwarz inequality, rearrangement inequality, Chebyshev inequality, Carleman’s inequality and Holder inequality. In Section 1 we prove the inequalities using various algebraic ways(i.e., without using analytic tools such as continuity, differentiation, etc) and some exhibit some applications. In Section 3 we also give analytic proofs of the weighted arithmetic-geometric inequality and Holder inequality using various analytic ways such as basic calculus and Jensen inequality.
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