optimal simultaneous approximation via 𝒜-summability
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ID: 203547
2013
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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.
| Reference Key |
aguilera2013abstractoptimal
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|---|---|
| Authors | ;Francisco Aguilera;Daniel Cárdenas-Morales;Pedro Garrancho |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/824058
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