Monotonicity, Convexity and Symmetric Derivates
Open Access
- 1 July 1976
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 221 (1) , 225-237
- https://doi.org/10.2307/1997551
Abstract
If the first lower symmetric derivate of a continuous function is nonnegative, then it is nondecreasing. If the second lower symmetric derivate of a continuous function is nonnegative, then it is convex. In this paper it is shown that if continuity is replaced by Baire one, Darboux in each of these, then the resulting statements are true.Keywords
This publication has 1 reference indexed in Scilit:
- A Note on a Darboux Continuous FunctionJournal of the London Mathematical Society, 1963