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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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.
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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