Geodesic
Certain sufficient conditions on $ |N,p_n,q_n|_k$ summability of orthogonal series
Krasniqi, Xhevat Z.1
1 Department of Mathematics and Informatics, Faculty of Education, University of Prishtina , Avenue , 10000 Prishtinë, Kosovë
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 4, p. 272-277.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we obtain some sufficient conditions on $ |N,p_n,q_n|_k$ summability of an orthogonal series. These conditions are expressed in terms of the coefficients of the orthogonal series. Also, several known and new results are deduced as corollaries of the main results.
DOI : 10.22436/jnsa.007.04.05
Classification : 42C15, 40F05, 40G05
Keywords: Orthogonal series, generalized Nörlund summability

Krasniqi, Xhevat Z. 1

1 Department of Mathematics and Informatics, Faculty of Education, University of Prishtina , Avenue , 10000 Prishtinë, Kosovë 
@article{JNSA_2014_7_4_a4,
     author = {Krasniqi, Xhevat Z.},
     title = {Certain sufficient conditions on \( {|N,p_n,q_n|_k\)}  summability of orthogonal series},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {272-277},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2014},
     doi = {10.22436/jnsa.007.04.05},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.05/}
}
TY  - JOUR
AU  - Krasniqi, Xhevat Z.
TI  - Certain sufficient conditions on \( |N,p_n,q_n|_k\)  summability of orthogonal series
JO  - Journal of nonlinear sciences and its applications
PY  - 2014
SP  - 272
EP  - 277
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.05/
DO  - 10.22436/jnsa.007.04.05
LA  - en
ID  - JNSA_2014_7_4_a4
ER  - 
%0 Journal Article
%A Krasniqi, Xhevat Z.
%T Certain sufficient conditions on \( |N,p_n,q_n|_k\)  summability of orthogonal series
%J Journal of nonlinear sciences and its applications
%D 2014
%P 272-277
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.05/
%R 10.22436/jnsa.007.04.05
%G en
%F JNSA_2014_7_4_a4
Krasniqi, Xhevat Z. Certain sufficient conditions on \( |N,p_n,q_n|_k\)  summability of orthogonal series. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 4, p. 272-277. doi : 10.22436/jnsa.007.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.05/

[1] Faroughi, M. H.; Radnia, M. Some properties of \(L_{p;w}\), J. Nonlinear Sci. Appl., Volume 2 (2009), pp. 174-179

[2] Kaur, J.; S. S. Bhatia Convergence of new modified trigonometric sums in the metric space L, J. Nonlinear Sci. Appl., Volume 1 (2008), pp. 179-188

[3] Natanson, I. P. Theory of functions of a real variable (2 vols), Frederick Ungar, New York, 1961

[4] Okuyama, Y. On the absolute Nörlund summability of orthogonal series, Proc. Japan Acad., Volume 54 (1978), pp. 113-118

[5] Okuyama, Y.; T. Tsuchikura On the absolute Riesz summability of orthogonal series, Anal. Math., Volume 7 (1981), pp. 199-208

[6] Okuyama, Y. On the absolute generalized Nörlund summability of orthogonal series, Tamkang J. Math., Volume 33 (2002), pp. 161-165

[7] Tanaka, M. On generalized Nörlund methods of summability, Bull. Austral. Math. Soc., Volume 19 (1978), pp. 381-402

[8] M. A. Sarigol On some absolute summability methods, Bull. Calcutta Math. Soc., Volume 83 (1991), pp. 421-426

Cité par Sources :