离散型Hoeldel不等式与加权均值不等式的推广 |
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引用本文: | 付雪豪,孙胜利.离散型Hoeldel不等式与加权均值不等式的推广[J].商丘职业技术学院学报,2009,8(2):18-21. |
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作者姓名: | 付雪豪 孙胜利 |
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作者单位: | 商丘职业技术学院,河南商丘476000 |
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摘 要: | 文中的定理2给出了Holdel不等式在∑j=1^n1/pj≥1时的推广形式.我们将对0〈∑j=1^n1/pj〈1和∑j=1^n1/pj〈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.
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关 键 词: | Hoeldel不等式 加权均值不等式 推广 |
Spread of Discrete Type Hoeldel Inequality and Weighted Mean Inequality |
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Institution: | FU Xue - hao, SUN Sheng - li (Shangqiu Vocational & Technical College, Shangqiu 476100, China) |
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Abstract: | 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. |
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Keywords: | Hoeldel inequality weighted mean inequality spread |
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