Approximation of Functions on the Real Axis by Féjer-Type Operators in the Generalized Hölder Metric
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 547-552
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper, we consider the orders of approximation of functions on the whole real axis by operators of Fejér type in the Banach space with the so-called generalized Hölder metric.
Keywords:
approximation of uniformly continuous and bounded functions, generalized Hölder metric, Banach space, Fourier series.
Mots-clés : Fejér operator
Mots-clés : Fejér operator
@article{MZM_2007_81_4_a7,
author = {R. A. Lasuriya},
title = {Approximation of {Functions} on the {Real} {Axis} by {F\'ejer-Type} {Operators} in the {Generalized} {H\"older} {Metric}},
journal = {Matemati\v{c}eskie zametki},
pages = {547--552},
year = {2007},
volume = {81},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a7/}
}
R. A. Lasuriya. Approximation of Functions on the Real Axis by Féjer-Type Operators in the Generalized Hölder Metric. Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 547-552. http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a7/
[1] N. I. Akhiezer, Lektsii po teorii approksimatsii, Gostekhizdat, M., 1947 | MR | Zbl
[2] S. Prösdorf, “Zur Konvergens der Fourierreihen Hölderstiger Funktionen”, Math. Nachr., 69 (1975), 7–14 | DOI | MR | Zbl
[3] Tikam Singh, “The approximation of continuous functions in the Hölder metric”, Matematichni Vesnik, 43:3–4 (1991), 111–118 | MR | Zbl
[4] P. N. Mohapatra, P. Chandra, “Degree of approximation of functions in the Hölder metric”, Acta Math. Hung., 41:1–2 (1983), 67–76 | DOI | MR | Zbl
[5] G. Khardi, D. Littlvud, G. Polia, Neravenstva, IL, M., 1948 | MR | Zbl