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2003-2004 On t-convex functions.
Kazimierz Nikodem, Zsolt Páles
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Real Anal. Exchange 29(1): 219-228 (2003-2004).

Abstract

The main results of the paper, answering an open problem raised in [3], show that $t$-convexity can also be characterized in terms of a lower second-order generalized derivative. As a consequence, we obtain that $t$-convexity is also a localizable convexity property.

Citation

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Kazimierz Nikodem. Zsolt Páles. "On t-convex functions.." Real Anal. Exchange 29 (1) 219 - 228, 2003-2004.

Information

Published: 2003-2004
First available in Project Euclid: 9 June 2006

zbMATH: 1076.26008
MathSciNet: MR2061306

Subjects:
Primary: 26A51‎ , ‎39B62

Keywords: $t$-convexity , $t$-Wright-convexity , generalized 2nd-order derivative , localizable convexity properties

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 1 • 2003-2004
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