In: Tatra Mountains Mathematical Publications, vol. 55, no. 2
Roman Wituła - Edyta Hetmaniok - Konrad Kaczmarek - Damian Słota
Detaily:
Rok, strany: 2013, 37 - 45
Kľúčové slová:
approximation by sums of subseries, property of sets closed under initial subsequences,
properties of adding and removing elements
O článku:
In this paper a problem of approximating the real numbers by using the series of real numbers is considered. It is proven that if the given family of sequences of real numbers satisfies some conditions of set-theoretical nature, like being closed under initial subsequences and (additionally) possessing properties of adding and removing elements, then it automatically possesses some approximating properties, like, for example, reaching supremum of the set of sums of subseries.
Ako citovať:
ISO 690:
Wituła, R., Hetmaniok, E., Kaczmarek, K., Słota, D. 2013. On certain approximation problem connected with the sums of subseries. In Tatra Mountains Mathematical Publications, vol. 55, no.2, pp. 37-45. 1210-3195.
APA:
Wituła, R., Hetmaniok, E., Kaczmarek, K., Słota, D. (2013). On certain approximation problem connected with the sums of subseries. Tatra Mountains Mathematical Publications, 55(2), 37-45. 1210-3195.