A characterisation of the divided differences of an operator which can be represented by Riemann integrals

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  • Florian-Alexandru Potra Bucharest, Romania
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References

Balázs, M., Goldner, G., On existence of divided differences in linear spaces. Rev. Anal. Numér. Théorie Approximation 2 (1973), 5-9, MR0378398.

Balázs, M., Goldner, G., Observations on divided differences and on the method of chords. (Romanian) Rev. Anal. Numer. Teoria Aproximaţiei 3 (1974), no. 1, 19-30 (1975), MR0381292.

Johnson, L. W., Scholz, D., R. On Steffensen's method. SIAM J. Numer. Anal. 5 1968 296-302, MR0228150, https://www.jstor.org/stable/2949443?seq=1

Laasonen, Pentti, Ein überquadratisch konvergenter iterativer Algorithmus. (German) Ann. Acad. Sci. Fenn. Ser. A I No. 450 1969 10 pp., MR0255047, https://doi.org/10.5186/aasfm.1969.450

Potra, F. A., On a modified secant method. Anal. Numér. Théor. Approx. 8 (1979), no. 2, 203-214, MR0573981.

Potra, Florian-Alexandru, An application of the induction method of V. Pták to the study of regula falsi. (Czech summary) With a loose Russian summary. Apl. Mat. 26 (1981), no. 2, 111-120, MR0612668.

Potra, F.A., An application of the induction method of V. Pták to the study of Regula Falsi. Preprint INCREST no.11/1979 - in revista

Schmidt, Jochen W., Eine Übertragung der Regula Falsi auf Gleichungen in Banachräumen. II. Nichtlineare Gleichungssysteme. (German) Z. Angew. Math. Mech. 43 1963 97-110, MR0150621, https://doi.org/10.1002/zamm.19630430302

Schröder, J., Nichlineare Majoraten bein Verfahren der Schrittweisen Näherung. Arch. Math. (Basel), 7, 471-484, 1956, https://doi.org/10.1007/bf01899031

Belostoţkiĭ - (in Russian).

Sergeev, A. S., The method of chords. (Russian) Sibirsk. Mat. Ž. 2 1961 282-289, MR0130517.

Ulm, S. Ju., Iteration methods with second-order divided differences. (Russian) Dokl. Akad. Nauk SSSR 158 1964 56-58, MR0182151.

Ul'm, S. Ju. A generalization of Steffensen's method for solving non-linear operator equations. (Russian) Ž. Vyčisl. Mat. i Mat. Fiz. 4 1964 1093-1097, MR0173367.

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Published

1980-08-01

How to Cite

Potra, F.-A. (1980). A characterisation of the divided differences of an operator which can be represented by Riemann integrals. Anal. Numér. Théor. Approx., 9(2), 251–253. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1980-vol9-no2-art10

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