This is a preview of subscription content, log in via an institution to check access.
Literature cited
G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).
B. W. Jurkat and A. Peyerimhoff, “The consistency of Nörlund and Hausdorff methods,” Ann. Math.,62, 498–503 (1955).
B. Kwee, “The relation between Nörlund and generalized Abel summability,” J. London Math. Soc.,38, No. 4, 472–476 (1963).
K. M. Slepenchuk and N. I. Udalaya, “Absolute summability of series by matrix methods,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 65–73 (1974).
Z. Abraham, “Inclusion relation between power methods of limitation,” Pac. J. Math.,67, No. 1, 251–275 (1967).
B. Kwee, “Absolute regularity of the Nörlund mean,” J. Austral. Math. Soc.,5, 1–7 (1965).
A. Zygmund, “On certain integrals,” Trans. Am. Math. Soc.,55, No. 2, 170–204 (1944).
K. M. Slepenchuk, “Theorems of Tauberian type for absolute summability by Abelian methods,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 135–139 (1965).
N. Bhatt, “Tauberian theorems for absolute Nörlund summability,” Mat. Vestn.,1, No. 4, 333–334 (1964).
J. B. Tatchell, “On some integral transformations,” Proc. London Math. Soc.,3, 257–266 (1953).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 2, pp. 231–234, March–April, 1980.
Rights and permissions
About this article
Cite this article
Nagainik, A.F. Inclusion of the summation method ¦W, p ¦ in the method ¦A* ¦ and Tauberian theorems. Ukr Math J 32, 143–146 (1980). https://doi.org/10.1007/BF01092791
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01092791