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Approximation of signals of class Lip( α, p) by linear operators
Ist Teil von
Applied mathematics and computation, 2011, Vol.217 (9), p.4483-4489
Ort / Verlag
Amsterdam: Elsevier Inc
Erscheinungsjahr
2011
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Mittal, Rhoades
[5–8] and Mittal et al.
[9,10] have initiated a study of error estimates
E
n
(
f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix
T does not have monotone rows. In this paper we continue the work. Here we extend two theorems of Leindler
[4], where he has weakened the conditions on {
p
n
} given by Chandra
[2], to more general classes of triangular matrix methods. Our Theorem also partially generalizes Theorem 4 of Mittal et al.
[11] by dropping the monotonicity on the elements of matrix rows, which in turn generalize the results of Quade
[15].