A NOTE ON A GENERAL CLASS OF ARITHMETIC MEANS

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Published: Jun 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4392
Keywords:
Summability methods regularity Toeplitz theorem

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W. C. CHU
Institute of Mathematics, Dalian University of Technology, Dalian, Liaoning Province 116024 (China).
L. C. HSU
Institute of Mathematics, Dalian University of Technology, Dalian, Liaoning Province 116024 (China).

Abstract




The object of this note is to introduce a general class of arithmetic means for summing divergent series. A $q$-analogue is also presented.




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How to Cite
CHU, W. C., & HSU, L. C. (1995). A NOTE ON A GENERAL CLASS OF ARITHMETIC MEANS. Tamkang Journal of Mathematics, 26(2), 155–157. https://doi.org/10.5556/j.tkjm.26.1995.4392
Issue
Vol. 26 No. 2 (1995)
Section
Papers
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References

G. P. Egorychev, Combinatorial Sums and the Method of Generating Functions, Krasnoysrsk Gos. Univ., Krasnoyarsk, 1974 (Russian).

G. P. Egorychev, "Integral Representation and the Computation of Combinatorial Sums," Transl. AMS Monographs, Vol. 59 (1984), p. 109.

G. H. Hardy, Divergent Series, Clarendon Press, Oxford, 1949 (Chap. 3).