Sums of powers of derivatives

Mařík, Jan; Weil, Clifford E.

doi:10.1090/S0002-9939-1991-1042268-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Sums of powers of derivatives
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by Jan Mařík and Clifford E. Weil PDF

Proc. Amer. Math. Soc. 112 (1991), 807-817 Request permission

Abstract:

In a previous paper the authors proved several theorems concerning products of positive derivatives. Here they prove analogous results for sums of powers of positive derivatives.

References

Jan Mařík and Clifford E. Weil, Products of powers of nonnegative derivatives, Trans. Amer. Math. Soc. 276 (1983), no. 1, 361–373. MR 684515, DOI 10.1090/S0002-9947-1983-0684515-1

Sums of powers of derivatives

A. M. Bruckner, J. Mařík, and C. E. Weil, Some aspects of products of derivatives, Amer. Math. Monthly 99 (1992), no. 2, 134–145. MR 1144354, DOI 10.2307/2324182