数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2009年
4期
418-426
,共9页
Hilbert型不等式%权系数%逆向HOlder不等式%最佳值
Hilbert型不等式%權繫數%逆嚮HOlder不等式%最佳值
Hilbert형불등식%권계수%역향HOlder불등식%최가치
Hilbert-type integral inequality%weight coefficient%Reverse HSlder inequality%bestfactor
引入独立参数λ及应用改进的Euler-Maclaurin求和公式以估算权系数,给出了-个具有最佳常数因子的逆向Hilbert型不等式的推广.作为应用,考虑了它的等价形式.
引入獨立參數λ及應用改進的Euler-Maclaurin求和公式以估算權繫數,給齣瞭-箇具有最佳常數因子的逆嚮Hilbert型不等式的推廣.作為應用,攷慮瞭它的等價形式.
인입독립삼수λ급응용개진적Euler-Maclaurin구화공식이고산권계수,급출료-개구유최가상수인자적역향Hilbert형불등식적추엄.작위응용,고필료타적등개형식.
By introducing a parameter λ and using the improved Euler-Maclaurin's formula for estimating the weight coefficient, we give a extension of Reverse Hilbert's type inequality with a best constant factor. As applications, the equivalent forms are considered.
