ON GENERALIZED $(N,p_n,q_n)$ SUMMABILITY OF JACOBI AND LAGUERRE SERIES
Main Article Content
Abstract
In this paper we generalize two theorems of Szego [7] for Jacobi and Laguerre series by $G(N , p, q)$ summability method.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
D. Borwein, "On product of sequences", J. London Math. Soc., 33 (1958), 212-220.
N. B. Dhal, "The generalized (N,p,q) summability", Sambalpur University Journal, Vol. IV Dec. 1971.
G. H. Hardy, "Divergent series", (1949).
J. K. Karamata, "Remarque relative d, la summation des Fourier parle procede de Norlund", Publ. Sci. del' Universite d'Alger, Ser A. 1 (1954), 7-14.
R. Sinha and S. Chandra, "On (N ,p , q) summability of Jacobi and Laguerre series", Tamkang Journal of Math., Vol. 16 No. 1 {1985).
R. Sinha and P. Kumar, "On generalized (N,Pn, qn) summability", Tamkang Journal of Math. Vol. 11, No. 2, (1980).
G. Szego, "Orthogonal Polynomials", New York (1939).
B. Thorpe, "Norlund summability of Jacobi and Laguerre series", Journal Furdie rein and angewandte Mathematik J. RMAA 8, Bank 276, (1975), 137-141.