On approximate solutions of an iterative functional equation
Abstract
We consider approximate solutions of the functional equation (1) in the class of functions which satisfy on compact sets the condition (2) with an increasing, subadditive, continuous at zero and vanishing at zero function γ: [0,+∞)→[0.+∞).
References
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4. J.H. Wells, L.R. Williams, Embeddings and Extensions in Analysis, Ergebnisse der Mathematik und ihrer Grenzgebiete 84, Springer-Verlag 1975.
2. E.J. McShane, Extension of range of functions, Bull. Amer. Math. Soc. 40 (1934), 837-842.
3. D.S. Mitrinović (in cooperation with P.M. Vasić), Analytic Inequalities, Die Grundlehren der mathematischen Wissenschaften 165, Springer-Verlag 1970.
4. J.H. Wells, L.R. Williams, Embeddings and Extensions in Analysis, Ergebnisse der Mathematik und ihrer Grenzgebiete 84, Springer-Verlag 1975.
BaronK., & SimonA. (1994). On approximate solutions of an iterative functional equation. Annales Mathematicae Silesianae, 8, 79-84. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14219
Karol Baron
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Alice Simon
Départment de Mathématiques, Université d'Orléans, France France
Départment de Mathématiques, Université d'Orléans, France France
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