MMN-538

Bernstein-Doetsch type results for $(k, h)$-convex functions

Abstract

In this paper we de ne the so-called (k; h)-convex function which is a natural generalization of the usual convexity, the s-convexity in the rst and second sense, the h-convexity, the Godunova-Levin functions and the P-functions. Some regularity and Bernstein-Doetsch type results are investigated for (k; h)-convex functions.


Vol. 13 (2012), No. 2, pp. 325-336
DOI: https://doi.org/10.18514/MMN.2012.538


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