On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series
Abstract Approximation of functions of different classes have been considered by various researchers under different summability means. In the present paper, presumably a new theorem has been established under (E, 1)(N̅ pn) -product summability mean of conjugate Fourier series of a function...
Guardado en:
| Autores principales: | , , , |
|---|---|
| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2019
|
| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500981 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:scielo:S0716-09172019000500981 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scielo:S0716-091720190005009812020-01-07On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier seriesPradhan,T.Paikray,S. K.Das,A. A.Dutta,H. Degree of approximation Generalized Zygmund class Conjugate Fourier series (E, 1) summability means (N̅, pn) summability means (E, 1)( N̅ , pn) summability means Abstract Approximation of functions of different classes have been considered by various researchers under different summability means. In the present paper, presumably a new theorem has been established under (E, 1)(N̅ pn) -product summability mean of conjugate Fourier series of a function of Zr (⍵) r (r ≥ 1) -class (generalized Zygmund class). Moreover, the result obtained here is a generalization of several known theorems.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500981en10.22199/issn.0717-6279-2019-05-0063 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Degree of approximation Generalized Zygmund class Conjugate Fourier series (E, 1) summability means (N̅, pn) summability means (E, 1)( N̅ , pn) summability means |
| spellingShingle |
Degree of approximation Generalized Zygmund class Conjugate Fourier series (E, 1) summability means (N̅, pn) summability means (E, 1)( N̅ , pn) summability means Pradhan,T. Paikray,S. K. Das,A. A. Dutta,H. On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| description |
Abstract Approximation of functions of different classes have been considered by various researchers under different summability means. In the present paper, presumably a new theorem has been established under (E, 1)(N̅ pn) -product summability mean of conjugate Fourier series of a function of Zr (⍵) r (r ≥ 1) -class (generalized Zygmund class). Moreover, the result obtained here is a generalization of several known theorems. |
| author |
Pradhan,T. Paikray,S. K. Das,A. A. Dutta,H. |
| author_facet |
Pradhan,T. Paikray,S. K. Das,A. A. Dutta,H. |
| author_sort |
Pradhan,T. |
| title |
On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| title_short |
On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| title_full |
On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| title_fullStr |
On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| title_full_unstemmed |
On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, p n ) summability means of conjugate Fourier series |
| title_sort |
on approximation of signals in the generalized zygmund class via (e, 1) (n̅, p n ) summability means of conjugate fourier series |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500981 |
| work_keys_str_mv |
AT pradhant onapproximationofsignalsinthegeneralizedzygmundclassviae1n773pnsummabilitymeansofconjugatefourierseries AT paikraysk onapproximationofsignalsinthegeneralizedzygmundclassviae1n773pnsummabilitymeansofconjugatefourierseries AT dasaa onapproximationofsignalsinthegeneralizedzygmundclassviae1n773pnsummabilitymeansofconjugatefourierseries AT duttah onapproximationofsignalsinthegeneralizedzygmundclassviae1n773pnsummabilitymeansofconjugatefourierseries |
| _version_ |
1718439860371456000 |