Geodesic
A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
Commentationes Mathematicae, Tome 52 (2012) no. 1, pp. 29-37.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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 \(n\to\infty\).
DOI : 10.14708/cm.v52i1.5325
Mots-clés : Regular matrix, Weighted means, Equivalence 
@article{10_14708_cm_v52i1_5325,
     author = {P.N. Natarajan},
     title = {A {Generalization} of a {Theorem} of {M\'oricz} and {Rhoades} on {Weighted} {Means}},
     journal = {Commentationes Mathematicae},
     pages = { 29--37},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2012},
     doi = {10.14708/cm.v52i1.5325},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5325/}
}
TY  - JOUR
AU  - P.N. Natarajan
TI  - A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
JO  - Commentationes Mathematicae
PY  - 2012
SP  -  29
EP  - 37
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5325/
DO  - 10.14708/cm.v52i1.5325
LA  - pl
ID  - 10_14708_cm_v52i1_5325
ER  - 
%0 Journal Article
%A P.N. Natarajan
%T A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
%J Commentationes Mathematicae
%D 2012
%P  29-37
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5325/
%R 10.14708/cm.v52i1.5325
%G pl
%F 10_14708_cm_v52i1_5325
P.N. Natarajan. A Generalization of a Theorem of Móricz and Rhoades on Weighted Means. Commentationes Mathematicae, Tome 52 (2012) no. 1, pp.  29-37. doi : 10.14708/cm.v52i1.5325. http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5325/

Cité par Sources :