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On a generalized notion of differentiability - MaRDI portal

On a generalized notion of differentiability (Q2371928)

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On a generalized notion of differentiability
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    On a generalized notion of differentiability (English)
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    9 July 2007
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    The authors compare some so-called generalized types of limits and differentiability, namely \(C\)-limit, \(M\)-limit, \(L\)-limit and the corresponding differentiability. They present a lot of examples. In the fifth and sixth sections they prove approximation theorems using generalized polynomials.
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    L-derivative
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    generalized Taylor sums
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    best approximating polynomials
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    Legendre polynomials
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