We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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