A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications

The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets.

List of contents

Part 1 Biased differentiability and its Taylor formula: the strong form of biased differentiability; biased differentiability. Part 2 Biased differentiability and extrema: introduction and summary; extrema for Cp functions; extrema for C rho functions. Part 3 Sufficiency of biased jets: preliminaries; the results; the proofs of theorems 6,7 and 8; final comments and remarks.

About the author

J A Riestra (Author

Summary

The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets

Product details

• Authors: J A Riestra, J. A. Riestra, J-A Riestra
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 20.06.1995
• EAN: 9780582277816
• ISBN: 978-0-582-27781-6
• No. of pages: 136
• Weight: 226 g
• Illustrations: Farb., s/w. Abb.
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research Notes in Mathematics Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis