journal6 ›› 2001, Vol. 22 ›› Issue (3): 77-79.
• 数学 • 上一篇 下一篇
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摘要:利用解析函数理论与Hölder不等式, 并借助于Hardy的技巧建立了广义的Widder不等式,讨论了使这个不等式等号成立的条件,而经典的Widder定理只是本结果的特殊情形.
关键词: Widder 定理, 解析函数, 函数, Hö, lder不等式
Abstract: In this paper it is shown that the generalized Widder's inequality can be established by means of the theory of analytic function and Hölder's inequality and by the help of Hardy's idea. The conditions in which the equality contained in this inequality holds are discussed. In particular, the classical Widder's theorem is attained when p=q= 2.
Key words: Widder's theorem, analytic function, func t ion;Hölder's inequali ty
贺乐平, 高明哲. Widder定理的推广[J]. journal6, 2001, 22(3): 77-79.
HE Le-Ping, GAO Ming-Zhe. A Generalization of Widder's Theorem[J]. journal6, 2001, 22(3): 77-79.
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https://zkxb.jsu.edu.cn/CN/Y2001/V22/I3/77