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

P.N. Natarajan. "A Generalization of a Theorem of Móricz and Rhoades on Weighted Means." Commentationes Mathematicae 52.1 (2012): null. <http://eudml.org/doc/291897>.

@article{P2012,
abstract = {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 $\frac\{p_n\}\{P_n\}\rightarrow 0$ as $n\rightarrow \infty $.},
author = {P.N. Natarajan},
journal = {Commentationes Mathematicae},
keywords = {Regular matrix; Weighted means; Equivalence},
language = {eng},
number = {1},
pages = {null},
title = {A Generalization of a Theorem of Móricz and Rhoades on Weighted Means},
url = {http://eudml.org/doc/291897},
volume = {52},
year = {2012},
}

TY - JOUR
AU - P.N. Natarajan
TI - A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
JO - Commentationes Mathematicae
PY - 2012
VL - 52
IS - 1
SP - null
AB - 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 $\frac{p_n}{P_n}\rightarrow 0$ as $n\rightarrow \infty $.
LA - eng
KW - Regular matrix; Weighted means; Equivalence
UR - http://eudml.org/doc/291897
ER -