Taylor polynomials and non-homogeneous blow-ups |
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| Authors: | Email author" target="_blank">Silvano?DelladioEmail author |
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| Institution: | (1) Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38050 Trento, Italy |
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| Abstract: | The graph of a function f is subjected to non-homogeneous dilatations around (x0;f(x0)), related to the Taylor expansion of f at x0. 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.Mathematics Subject Classification (1991): Primary 41A10, 49Q15, 53A05, 54G20; Secondary 28A75, 28A78, 28A33, 54C20 |
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