Czasopismo
2012
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Vol. 52, [Z] 1
|
29-37
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we prove a theorem which gives an equivalent formulation of summability by weighted mean methods. The result of Hardy [1] and that of Móricz and Rhoades [2] are special cases of this theorem. In this context, it is important to note that the result of Móricz and Rhoades is valid even without the assumption Pn/Pn→ 0 as n→∞.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
29-37
Opis fizyczny
Bibliogr. 3 poz.
Twórcy
autor
- Old No. 2/3, New No. 3/3, Second Main Road, R.A. Puram, Chennai 600 028, India, pinnangudinatarajan@gmail. com
Bibliografia
- [1] G.H. Hardy, A theorem concerning summable series, Proc. Cambridge Philos. Soc. 20 (1920-21), 304-307.
- [2] F. Móricz and B.E. Rhoades, An equivalent reformulation of summability by weighted mean methods, revised, Linear Algebra Appl. 349 (2002), 187-192.
- [3] A. Peyerimhoff, Lectures on summability, Lecture Notes in Mathematics 107, Springer, 1969.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0023-0061