# Regular fractional iteration of convex functions

Annales Polonici Mathematici (1980)

- Volume: 38, Issue: 1, page 95-100
- ISSN: 0066-2216

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topMarek Kuczma. "Regular fractional iteration of convex functions." Annales Polonici Mathematici 38.1 (1980): 95-100. <http://eudml.org/doc/265331>.

@article{MarekKuczma1980,

abstract = {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.},

author = {Marek Kuczma},

journal = {Annales Polonici Mathematici},

keywords = {fractional iteration; convex functions; Schröder equation; Abel equation; continuous solution},

language = {eng},

number = {1},

pages = {95-100},

title = {Regular fractional iteration of convex functions},

url = {http://eudml.org/doc/265331},

volume = {38},

year = {1980},

}

TY - JOUR

AU - Marek Kuczma

TI - Regular fractional iteration of convex functions

JO - Annales Polonici Mathematici

PY - 1980

VL - 38

IS - 1

SP - 95

EP - 100

AB - 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.

LA - eng

KW - fractional iteration; convex functions; Schröder equation; Abel equation; continuous solution

UR - http://eudml.org/doc/265331

ER -

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