Abstract
Let (u n) be a sequence of real numbers. In this paper we introduce some Tauberian conditions in terms of regularly generated sequences for (A, k) summability method.
[1] DİK, M.: Tauberian theorems for sequences with moderately oscillatory control moduli, Math. Morav. 5 (2001), 57–94. 10.5937/MatMor0105057DSearch in Google Scholar
[2] DİK, F.: Tauberian theorems for convergence and subsequential convergence with moderately oscillatory behavior, Math. Morav. 5 (2001), 19–56. 10.5937/MatMor0105019DSearch in Google Scholar
[3] ÇANAK, ı. TOTUR, Ü.: A Tauberian theorem with a generalized one-sided condition, Abstr. Appl. Anal. 2007 (2007), Article ID 60360. Search in Google Scholar
[4] HARDY, G. H. LITTLEWOOD, J. E.: Tauberian theorems concerning power series and Dirichlet’s series whose coefficients are positive, Proc. London Math. Soc. (3) 13 (1914), 174–191. http://dx.doi.org/10.1112/plms/s2-13.1.17410.1112/plms/s2-13.1.174Search in Google Scholar
[5] STANOJEVIĆ, Č. V. STANOJEVIĆ, V. B.: Tauberian retrieval theory, Publ. Inst. Math. (Beograd) (N.S.) 71(85) (2002), 105–111. http://dx.doi.org/10.2298/PIM0271105S10.2298/PIM0271105SSearch in Google Scholar
[6] ÇANAK, ı. TOTUR, Ü.: Tauberian theorems for Abel limitability method, Cent. Eur. J. Math. 6 (2008), 301–306. http://dx.doi.org/10.2478/s11533-008-0019-710.2478/s11533-008-0019-7Search in Google Scholar
© 2011 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
