This is a preview of subscription content, log in via an institution to check access.
References
R. P. Agnew, Equivalence of methods for evaluation of sequences. Proc. Amer. Math. Soc.3, 550–556 (1952).
R. Brück, Generalizations of Walsh's equiconvergence theorem by the application of summability methods. Mitt. Math. Sem. Giessen195, 1–84 (1990).
R. Brück, Summability of sequences of polynomial interpolants in the roots of unity. Analysis11, 27–42 (1991).
A.Peyerimhoff, Lectures on summability. LNM107, Berlin-Heidelberg-New York 1969.
J. L.Walsh, Interpolation and approximation by rational functions in the complex domain (5th Ed). Amer. Math. Soc. Colloq. Publ.20, Providence, R.I. 1969.
Author information
Authors and Affiliations
Additional information
Dedicated to Professor Dieter Gaier on the occasion of his 65th birthday
This work was supported in part by the Institute for Computational Mathematics at Kent State University and by the Department of Mathematical Sciences at the University of Wisconsin-Milwaukee.
Rights and permissions
About this article
Cite this article
Brück, R. On Walsh's equiconvergence theorem and the application of summability methods. Arch. Math 62, 321–330 (1994). https://doi.org/10.1007/BF01201784
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01201784