|
|||||
|
|
One-sided Tauberian conditions and double sequences |
|
| Authors: | Stadtmüller U. |
| Affiliation: | 1.Universit?t Ulm, Abt. f. Zahlen- u. Wahrscheinlichkeitstheor e, D-89069, Ulm, Germany ; |
| Abstract: | We give a theorem of Vijayaraghavan type for summability methods for double sequences, which allows a conclusion from boundedness in a mean and a one-sided Tauberian condition to the boundedness of the sequence itself. We apply the result to certain power series methods for double sequences improving a recent Tauberian result by S. Baron and the author [4]. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | double sequences inverse theorem power series methods one-sided Tauberian condition |
| 本文献已被 SpringerLink 等数据库收录！ | |