부등식 창고 : 이론과 기법

학습과정 안내.............................................................................. 004

PART1 문제편
0. 용어의 정의, 유용한 대수적 조작 및 인수분해............................. 007
1. 산술-기하 평균 부등식.............................................................. 013
2. 코시-슈바르츠 부등식 (Cauchy-Schwartz Inequality)................. 041
3. 재배열 부등식, 체비셰프 부등식................................................. 057
4. 슈어 부등식, 홀더 부등식.......................................................... 066
5. 치환........................................................................................ 073
6. 선형과 볼록함수, 판별식D.......................................................... 087
7. 접선법 (Tangent Line Method)................................................. 096
8. 아벨 합 공식 (Abel Summation Formula)................................. 100
9. pqr Method............................................................................. 106
10. MV Method............................................................................ 114
11. SOS Method, Vornicu-Schur 부등식...................................... 121

PART2 풀이편
1. 산술-기하 평균 부등식.............................................................. 133
2. 코시-슈바르츠 부등식 (Cauchy-Schwartz Inequality)................. 177
3. 재배열 부등식, 체비셰프 부등식................................................. 198
4. 슈어 부등식, 홀더 부등식.......................................................... 215
5. 치환........................................................................................ 227
6. 선형과 볼록함수, 판별식D.......................................................... 240
7. 접선법 (Tangent Line Method)................................................. 252
8. 아벨 합 공식 (Abel Summation Formula)................................. 257
9. pqr Method............................................................................. 271
10. MV Method............................................................................ 286
11. SOS Method, Vornicu-Schur 부등식...................................... 304