A Generalization of a Theorem of Móricz and Rhoades on Weighted Means

• Autorzy: P.N. Natarajan
• Języki publikacji: EN

Abstrakty

EN

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 \(\frac{p_n}{P_n}\to0\) as \(n\to\infty\).

Słowa kluczowe

EN

Regular matrix; Weighted means; Equivalence

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: 52
• Numer: 1

Daty

wydano

2012

online

2017-12-19

Twórcy

autor

P.N. Natarajan

Identyfikatory

DOI

10.14708/cm.v52i1.5325