On existence of divided differences in linear spaces

Authors

  • M. Balázs "Babeş Bolyai" University, Cluj, Romania
  • G. Goldner Cluj, Romania

DOI:

https://doi.org/10.33993/jnaat21-6

Keywords:

nonlinear mappings between linear or linear topological spaces, divided differences, properties of divided differences
Abstract views: 261

Abstract

Nonlinear mappings between linear or linear topological spaces are considered, and the existence of the divided differences is studied.

For the case of the normed spaces, besides the existence, is also proved an analogical property with the case of the real functions.

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References

Balázs, M., Goldner, G., On Divided Differences in Banach Spaces and Certain Their Applications. St. Cerc. Mat., Acad. R.S.R. 21, 985-996 (1969) (Rumanian).

Balázs, M., Goldner, G., On the approximate solution of non-linear functional equations. II. An. Şti. Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. (N.S.) 15 1969 369--373, MR0273806.

Belostotzki, A.I., Certain Methods for Solving Functional Equations. Usp. Mat. Nauk. SSSR. 17, 192-193 (1962) (Russian)

Raĭkov, D. A., Vektornye prostranstva. [Vector spaces] Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow] 1962 211 pp., MR0145317 (Russian).

Robertson, A. P., Robertson, W. J., Topological vector spaces. Cambridge Tracts in Mathematics and Mathematical Physics, No. 53 Cambridge University Press, New York 1964 viii+158 pp., MR0162118.

Ul'm, S., On Generalized Divided Differences I. Izv. Akad. Nauk ESSR, 16, 13-26 (1967) (Russian).

Yosid, K., Functional analysis. Springer-Verlag, Berlin-Göttingen-Heidelberg 106 (1956).

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Published

1973-02-01

How to Cite

Balázs, M., & Goldner, G. (1973). On existence of divided differences in linear spaces. Rev. Anal. Numér. Théorie Approximation, 2, 5–9. https://doi.org/10.33993/jnaat21-6

Issue

Vol. 2 (1973)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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