离散型Hldel不等式与加权均值不等式的推广

Spread of Discrete Type Hldel Inequality and Weighted Mean Inequality

文中的定理2给出了Hldel不等式在∑nj=11pj≥1时的推广形式.我们将对0<∑nj=11pj<1和∑nj=11pj<0时给出其推广形式,并给出文[3]中的加权均值不等式在pj<0时的推广.

Theorem 2 in thesis [ 1 ] gives Hoeldel＇s spread when∑j=1^n1/pj≥1 This thesis will give its spread when 0〈∑j=1^n1/pj〈1 and give weighted mean inequality in thesis [ 3 ] spread whenpj 〈 0.