A Tauberian theorem for increasing functions of dominated variation

Siberian Mathematical Journal

Volumn 43, Issue 2, 2002, Pages 353-356

  Rogozin, B A ^a  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141625014     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014757424289     Document Type: Article

References (6)

1. Feller W., "On regular variation and local limit theorems," in: Proc. Fifth Berkeley Sympos. Math. Statist. Probab. Vol. 2. Contributions to Probability Theory. Part 1, Univ. of California Press, Berkeley, 1967, pp. 373-388.
2. Feller W., "One-sided analogues of Karamata's regular variation," Enseign. Math., 15, 107-121 (1969).
3. Seneta E., Regularly Varying Functions [Russian translation], Nauka, Moscow (1985).
4. Borovkov A. A., Stochastic Processes in Queueing Theory [in Russian], Nauka, Moscow (1972).
5. de Haan L. and Stadtmüller U., "Dominated variation and related concepts and Tauberian theorems for Laplace transforms," J. Math. Anal. Appl., 108, 344-365 (1985).
6. Bingham N. H. and Goldie Ch. M., "Extensions of regular variation. I, II," Proc. London Math. Soc., 44, 473-534 (1982).