Optimal Simultaneous Approximation via -Summability

Francisco Aguilera, Daniel Cárdenas-Morales and Pedro Garrancho

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

Abstract:

We present optimal convergence results for the m th derivative of a function by sequences of linear operators. The usual convergence is replaced by -summability, with being a sequence of infinite matrices with nonnegative real entries, and the operators are assumed to be m -convex. Saturation results for nonconvergent but almost convergent sequences of operators are stated as corollaries.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:824058

DOI: 10.1155/2013/824058

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