Generalized double sequences

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  • Gh. Toader Polytechnic Institute, Cluj-Napoca, Romania
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References

Beckenbach, E.F., Bellman, R., Inequalities, Ergebnise Math., 30, Springer-Verlag, Berlin-Heidleberg-New York, 1971.

Carlson, B. C. Algorithms involving arithmetic and geometric means. Amer. Math. Monthly 78 1971, pp. 496-505, MR0283246, https://doi.org/10.1080/00029890.1971.11992791

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Cristescu, R. Ordered vector spaces and linear operators. Translated from the Romanian. Abacus Press, Tunbridge, 1976. 380 pp., MR0467238 .

Foster, D. M. E.; Phillips, G. M. A generalization of the Archimedean double sequence. J. Math. Anal. Appl. 101 (1984), no. 2, 575-581, MR0748590, https://doi.org/10.1016/0022-247x(84)90121-5

Foster, D. M. E.; Phillips, G. M. The arithmetic-harmonic mean. Math. Comp. 42 (1984), no. 165, pp. 183-191, MR0725993, https://doi.org/10.1090/s0025-5718-1984-0725993-3

Giroux, A., Rahman, Q. I., Research problems in function theory, ann. Sci. Math. Quebec, 6, pp. 71-79 (1982).

Miel, George Of calculations past and present: the Archimedean algorithm. Amer. Math. Monthly 90 (1983), no. 1, pp. 17-35, MR0691010, https://doi.org/10.1080/00029890.1983.11971147

Phillips, G.M., Archimedes and the complex plane, Amer. Math. Monthlly, 91, pp. 108-114 (1984), https://doi.org/10.1080/00029890.1984.11971348

Pittenger, A. O. The symmetric, logarithmic and power means. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 678-715 (1980), pp. 19-23 (1981), MR0623218.

Toader, Gh. Generalized means and double sequences. Studia Univ. Babeş-Bolyai Math. 32 (1987), no. 3, pp. 77-80, MR0946200.

Toader, Gh., Complex generalized means (to appear).

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Published

1987-02-01

How to Cite

Toader, G. (1987). Generalized double sequences. Anal. Numér. Théor. Approx., 16(1), 81–85. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no1-art13

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