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Extension of an Inequality with Power Exponential Functions
並列摘要
V. Cîrtoaje et al. [2] conjectured and proved [3, 4] that the inequality a^(r b) + b^(r a) ≤ 2 holds for all nonnegative numbers r ≤ 3 and nonnegative real numbers a, b with a +b=2. In this paper, we will show that a^(r b) +b^(r a) ≤ 2 holds for all nonnegative r ≥ 3 and all nonnegative real numbers a, b with a + b=2 and some conditions. This gives an extended inequality of conjectured by V. Cîrtoaje.
並列關鍵字
無資料被引用紀錄
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延伸閱讀
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