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2013 Optimal Simultaneous Approximation via 𝒜 -Summability
Francisco Aguilera, Daniel Cárdenas-Morales, Pedro Garrancho
Abstr. Appl. Anal. 2013: 1-5 (2013). DOI: 10.1155/2013/824058


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.


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Francisco Aguilera. Daniel Cárdenas-Morales. Pedro Garrancho. "Optimal Simultaneous Approximation via 𝒜 -Summability." Abstr. Appl. Anal. 2013 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095395
MathSciNet: MR3102726
Digital Object Identifier: 10.1155/2013/824058

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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