平均值定理 average value theorem; first mean value theorem; law of the mean; theorem of mean value; theorem of the mean
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By using the limit theorem , the authors discuss and prove conclusions of asymptotic property of mean point in second mean value theorem for integrals in concessional terms believing that they will take an important effect in integral 摘要利用極限理論,給出并證明了減弱條件的積分第二中值定理“中值點(diǎn)”的漸近性的幾個(gè)結(jié)論,相信在積分學(xué)中有著很重要的作用。
The general results of the asymptotic property of the intermediate value of the first and second mean value theorems for the integrals are discussed , and mainly the asymptotic property of the second mean value theorem for the integrals is deduced from the weak condition 摘要討論積分第一和第二中值定理的中間點(diǎn)的漸近性質(zhì)的一般結(jié)果,主要證明積分第二中值定理的中間點(diǎn)在弱條件下的漸近性質(zhì)。