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Taylor polynomials and non-homogeneous blow-ups

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Abstract.

The graph of a function f is subjected to non-homogeneous dilatations around (x 0 ;f(x 0 )), related to the Taylor expansion of f at x 0 . Some natural questions about convergence are considered and answered. Finally, it is provided a counterexample to a statement which was presumed to be true in former literature.

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38050, Trento, Italy

    Silvano Delladio

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  1. Silvano Delladio
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Correspondence to Silvano Delladio.

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Mathematics Subject Classification (1991): Primary 41A10, 49Q15, 53A05, 54G20; Secondary 28A75, 28A78, 28A33, 54C20

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Delladio, S. Taylor polynomials and non-homogeneous blow-ups. manuscripta math. 113, 383–395 (2004). https://doi.org/10.1007/s00229-004-0438-0

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  • DOI: https://doi.org/10.1007/s00229-004-0438-0

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