Optimal Simultaneous Approximation via 𝒜‐Summability

Francisco Aguilera, Daniel Cárdenas-Morales and Pedro Garrancho

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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 results for nonconvergent but almost convergent sequences of operators are stated as corollaries.

Date: 2013
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https://doi.org/10.1155/2013/824058

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:824058

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