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1. On the classes of higher-order Jensen-convex functions and Wright-convex functions

Author

Nikodem, Kazimierz, Rajba, Teresa, and Wąsowicz, Szymon

Subjects
*CONVEX functions, *NATURAL numbers, *NUMBER theory, *MEASURE theory, *MATHEMATICAL analysis, *SET theory
Abstract

Abstract: The classes of -Wright-convex functions and -Jensen-convex functions are compared with each other. It is shown that for any odd natural number the first one is the proper subclass of the second one. To reach this aim new tools connected with measure theory are developed. [Copyright &y& Elsevier]

Published
2012
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