Geodesic
Regular fractional iteration of convex functions
Annales Polonici Mathematici, Tome 38 (1980) no. 1, pp. 95-100.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The existence of a unique $C^1$ solution φ of equation (1) is proved under the condition that f: I → I is convex or concave and of class $C^1$ in I, 0 f(x) x in I*, and f'(x) > 0 in I. Here I = [0, a] or [0, a), 0 a ≤ ∞, and I* = I\ {0}.
DOI : 10.4064/ap-38-1-95-100

Marek Kuczma 1

1 
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Marek Kuczma. Regular fractional iteration of convex functions. Annales Polonici Mathematici, Tome 38 (1980) no. 1, pp. 95-100. doi : 10.4064/ap-38-1-95-100. http://geodesic.mathdoc.fr/articles/10.4064/ap-38-1-95-100/

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