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Transactions of the American Mathematical Society

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Products of powers of nonnegative derivatives


Authors: Jan Mařík and Clifford E. Weil
Journal: Trans. Amer. Math. Soc. 276 (1983), 361-373
MSC: Primary 26A24
DOI: https://doi.org/10.1090/S0002-9947-1983-0684515-1
MathSciNet review: 684515
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Abstract: This paper contains some results concerning functions that can be written as $ f_1^{{\beta _1}} \cdots f_n^{{\beta _n}}$, where $ n$ is an integer greater than $ 1$, $ {f_j}$ are nonnegative derivatives and $ {\beta _j}$ are positive numbers. If we choose $ {\beta _1} = \cdots = {\beta _n} = 1$, we obtain theorems about products of nonnegative derivatives.


References [Enhancements On Off] (What's this?)

  • [1] S. J. Agronsky, R. Biskner, A. M. Bruckner and J. Mařík, Representations of functions by derivatives, Trans. Amer. Math. Soc. 263 (1981), 493-500. MR 594421 (82e:26006)

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DOI: https://doi.org/10.1090/S0002-9947-1983-0684515-1
Article copyright: © Copyright 1983 American Mathematical Society

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