This is a preview of subscription content, log in via an institution to check access.
Literature cited
V. I. Mel'nik, “General Tauberian theorems for absolute summation, ” Izv. Vyssh. Uchebn. Zaved., Mat., No. 11, 84–87 (1979).
H. R. Pitt, Tauberian Theorems, Oxford Univ. Press, London (1958).
A. Zigmund, “On certain integrals, ” Trans. Am. Math. Soc.,55, No. 2, 170–204 (1944).
S. Geisberg, “Lacunary Tauberian theorems for absolute summation, ” Uch. Zap. Tartusk. Univ.102, 52–57 (1961).
J. M. Huslop, “A Tauberian theorem for absolute summability,” J. London Math. Soc.,12, Part 3, No. 47, 176–180 (1937).
K. M. Slepenchuk, “Theorems of Tauberian type for absolute summability by the Abel method, ” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 135–139 (1965).
G. H. Gardy, Divergent Series, Clarendon Press, Oxford (1949).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 831–836, November–December, 1980.
Rights and permissions
About this article
Cite this article
Mel'nik, V.I. A tauberian theorem for convolution transforms in the metric of L. Ukr Math J 32, 571–576 (1980). https://doi.org/10.1007/BF01087193
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01087193