In: Tatra Mountains Mathematical Publications, vol. 68, no. 1
Valentin Skvortsov - Francesco Tulone
Detaily:
Rok, strany: 2017, 81 - 92
Kľúčové slová:
Vilenkin system, multiple Vilenkin series, rectangular convergence, Perron integral, Saks continuity, recovering the coefficients
O článku:
We give a sufficient condition for coefficients of double series $\sum\sum_{n,m}a_{n,m}\chi_{n,m}$
with respect to Vilenkin system to be convergent to zero when $n+m\rightarrow \infty$.
This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum.
Ako citovať:
ISO 690:
Skvortsov, V., Tulone, F. 2017. On the coefficients of multiple series with respect to Vilenkin system. In Tatra Mountains Mathematical Publications, vol. 68, no.1, pp. 81-92. 1210-3195.
APA:
Skvortsov, V., Tulone, F. (2017). On the coefficients of multiple series with respect to Vilenkin system. Tatra Mountains Mathematical Publications, 68(1), 81-92. 1210-3195.