Details

Autor(en) / Beteiligte

• Mittal, M.L.
• Rhoades, B.E.
• Sonker, Smita
• Singh, U.

Titel

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].