Optimal Simultaneous Approximation via 𝒜-Summability

We present optimal convergence results for the mth derivative of a function by sequences of linear operators. The usual convergence is replaced by 𝒜-summability, with 𝒜 being a sequence of infinite matrices with nonnegative real entries, and the operators are assumed to be m-convex. Saturation resul...

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Bibliographic Details
Main Authors: Francisco Aguilera, Daniel Cárdenas-Morales, Pedro Garrancho
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/824058