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.
Taylor polynomials and non-homogeneous blow-ups
Delladio, Silvano
2004-01-01
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.File in questo prodotto:
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