Geodesic
On the Relation Between [f, g] and Aλ Summability
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 783-793

Voir la notice de l'article provenant de la source Cambridge University Press

First we will briefly define the [f, g] and Aλ summability methods. Let K = {w : |w| < 1}. T. H. Gronwall [3] introduced a general class of summability methods each of which involves a pair of functions f and g with the following properties. The function z = f (w) is analytic on \{1}, continuous and univalent on , with f (0) = 0, f (1) = 1, |f(w)| < 1 if w ∊ K. The inverse function w = f -1(z) is analytic on f (K)\{1}, and at z = 1 1.1 where γ ≧ 1, a > 0, and the quantity in brackets is a power series in 1 — z with positive radius of convergence. 
Bustoz, Joaquin. On the Relation Between [f, g] and Aλ Summability. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 783-793. doi: 10.4153/CJM-1974-073-8
@article{10_4153_CJM_1974_073_8,
     author = {Bustoz, Joaquin},
     title = {On the {Relation} {Between} [f, g] and {A\ensuremath{\lambda}} {Summability}},
     journal = {Canadian journal of mathematics},
     pages = {783--793},
     year = {1974},
     volume = {26},
     number = {4},
     doi = {10.4153/CJM-1974-073-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-073-8/}
}
TY  - JOUR
AU  - Bustoz, Joaquin
TI  - On the Relation Between [f, g] and Aλ Summability
JO  - Canadian journal of mathematics
PY  - 1974
SP  - 783
EP  - 793
VL  - 26
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-073-8/
DO  - 10.4153/CJM-1974-073-8
ID  - 10_4153_CJM_1974_073_8
ER  - 
%0 Journal Article
%A Bustoz, Joaquin
%T On the Relation Between [f, g] and Aλ Summability
%J Canadian journal of mathematics
%D 1974
%P 783-793
%V 26
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-073-8/
%R 10.4153/CJM-1974-073-8
%F 10_4153_CJM_1974_073_8

[1] 1. Borwein, D., On a scale of Abel-type summability methods, Proc. Cambridge Philos. Soc. 52 (1957), 318–322. Google Scholar

[2] 2. Bustoz, J. and Wright, D., On Gronwall summability, Math. Z. 125 (1972), 177–183. Google Scholar

[3] 3. Gronwall, T. H., Summation of series and conformai mapping, Ann. of Math. 33 (1932), 101–117. Google Scholar

[4] 4. Kwee, B., On absolute de la Vallée Poussin summability, Pacific J. Math. 42 (1972), 689–693. Google Scholar

[5] 5. Szasz, O., On products of summability methods, Proc. Amer. Math. Soc. 3 (1952), 257–263. Google Scholar

Cité par Sources :