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In this paper we present a new approach to classical Karamata's results concerning the Hardy-Littlewood tauberian theorem.
1.Erdös, P., On the distribution of additive functions, Ann. of Math. 47(1946), 1–20.Google Scholar
2
2.Hardy, G. H., Little wood, J. E., Tauberian theorems concerning power series and Dirichlets series whose coefficients are positive, Proc. London Math. Soc. Ser. 2(1914), 13, 174–191.Google Scholar
3
3.Kalecki, M., On the sum Σn≦x {f(x/n)}, Commentationes Math., 11(1968), 2, 183–191.Google Scholar