A Note on Generalised Fekete Methods

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Authors

  • B. Choudhary
     Department of Mathematics, Indian Institute of Technology, Hauz-Khas, New Delhi-110029 ,IN
  • Ashok Kumar
     Department of Mathematics, Indian Institute of Technology, Hauz-Khas, New Delhi-110029 ,IN

Abstract

In [1], M. Fekete proposes two sequence-to-sequence summability methods, which he calls "Taylor-Norlund" and "Norlund-Taylor". Paul Schaefer [2] extends his methods by replacing the Taylor method with a more general regular summability method A, which he calls "A-Norlund" and "Norlund-A" and denotes them by F(A, pn) and G(A, pn).

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Published

1974-12-01

How to Cite

Choudhary, B., & Kumar, A. (1974). A Note on Generalised Fekete Methods. The Journal of the Indian Mathematical Society, 38(1-4), 241–254. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16698

Issue

Volume 38, Issue 1-4, March-December 1974

Section

Articles

License

Copyright (c) 1974 B. Choudhary, Ashok Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

M. FEKETE, New methods of summability, /. London Math. Soc. 33 (1958), 466-470.

PAUL SCHAEFER, Generalised Fekete means, Trans. Amer. Math. Soc. 120 (1965), 24-36.

R.G. COOKE, Infinite Matrices and Sequence Spaces, (London) 1950.

P. DIENES, The Taylor Series, (Oxford) 1931.

P. VERMES, Series-to-series transformation and analytic continuation by matrix methods, Amer. J. Math. 71 (1949), 541-562.

G.G. LORENTZ AND K. ZELLER, Summation of sequences and summation of series, Proc. Amer. Math. Soc. 15 (1964), 743-746.

MEYER-KONIG, Untersuchungen liber einige verwandte Limitiersungsverfahren, Math. Zeit. 52 (1949), 257-304.

G.H. HARDY, Divergent Series, (Oxford) 1949.