Absolute Tauberian Constants for Hausdorff Transformations
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 19-26

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

Let be a fixed sequence of real or complex numbers. The Hausdorff transform {tn } of a sequence \sn) by means of the fixed sequence (or, in short, the (H, μn ) transform) is given by where, for r, q ≧ 0,
Sherif, Soraya. Absolute Tauberian Constants for Hausdorff Transformations. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 19-26. doi: 10.4153/CJM-1974-003-0
@article{10_4153_CJM_1974_003_0,
     author = {Sherif, Soraya},
     title = {Absolute {Tauberian} {Constants} for {Hausdorff} {Transformations}},
     journal = {Canadian journal of mathematics},
     pages = {19--26},
     year = {1974},
     volume = {26},
     number = {1},
     doi = {10.4153/CJM-1974-003-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-003-0/}
}
TY  - JOUR
AU  - Sherif, Soraya
TI  - Absolute Tauberian Constants for Hausdorff Transformations
JO  - Canadian journal of mathematics
PY  - 1974
SP  - 19
EP  - 26
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-003-0/
DO  - 10.4153/CJM-1974-003-0
ID  - 10_4153_CJM_1974_003_0
ER  - 
%0 Journal Article
%A Sherif, Soraya
%T Absolute Tauberian Constants for Hausdorff Transformations
%J Canadian journal of mathematics
%D 1974
%P 19-26
%V 26
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-003-0/
%R 10.4153/CJM-1974-003-0
%F 10_4153_CJM_1974_003_0

[1] 1. Bateman, H., Higher transcendental functions, Volume 1 (McGraw-Hill, New York, 1953). Google Scholar

[2] 2. Fekete, M., Vizsálatok az absolut summabilis sorokrol, alkalmazással a Direchlet éss Fourier —sorokra, math, és Termés. Ért. 32 (1914), 389–425. Google Scholar

[3] 3. Hardy, G. H., Divergent series (Oxford Univ. Press, Oxford, 1940). Google Scholar

[4] 4. Hyslop, J. M., A Tauberian theorem for absolute summability, J. London Math. Soc. 12 (1937), 176–180. Google Scholar

[5] 5. Jakimovski, A., The sequence-to-function analogues to Hausdorff transformations, The Bull, of the Research Council of Israel. Vol. 8F, No. 3 (1960), 135–154. Google Scholar

[6] 6. Knopp, K. and Lorentz, G. G., Belträge Zür absoluten Limitierung. Arch. Math. (Basel) 2 (1949), 10–16. Google Scholar

[7] 7. Maddox, I. J., Elements of functional analysis (Cambridge Univ. Press, 1970). Google Scholar

[8] 8. Mears, F. M., Absolute regularity and the Norlund mean, Ann. of Math. 83 (1937), 594–601. Google Scholar

[9] 9. Sherif, S., Absolute Tauberian constants for Cesaro means, Trans. Amer. Math. Soc. 168 (1972), 233-241. Google Scholar

[10] 10. Whittaker, J.M., The absolute summability of Fourier series, Proc. Edinburgh Math. Soc. 2 (1931), 1–5. Google Scholar

Cité par Sources :