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Optimal Simultaneous Approximation via -Summability

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  • Francisco Aguilera
  • Daniel Cárdenas-Morales
  • Pedro Garrancho

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.

Suggested Citation

  • Francisco Aguilera & Daniel Cárdenas-Morales & Pedro Garrancho, 2013. "Optimal Simultaneous Approximation via -Summability," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, September.
    • Handle: RePEc:hin:jnlaaa:824058
    DOI: 10.1155/2013/824058
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