Products of powers of nonnegative derivatives
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- by Jan Mařík and Clifford E. Weil PDF
- Trans. Amer. Math. Soc. 276 (1983), 361-373 Request permission
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
- S. J. Agronsky, R. Biskner, A. M. Bruckner, and J. Mařík, Representations of functions by derivatives, Trans. Amer. Math. Soc. 263 (1981), no. 2, 493–500. MR 594421, DOI 10.1090/S0002-9947-1981-0594421-7
Additional Information
- © Copyright 1983 American Mathematical Society
- 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