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.

Sommario

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.

Info autore

J A Riestra (Author

Riassunto

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

Dettagli sul prodotto

• Autori: J A Riestra, J. A. Riestra, J-A Riestra
• Editore: Taylor and Francis
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 20.06.1995
• EAN: 9780582277816
• ISBN: 978-0-582-27781-6
• Pagine: 136
• Peso: 226 g
• Serie: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research Notes in Mathematics Series
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; MATHEMATICS / Functional Analysis, Calculus of variations, Functional analysis & transforms, Functional analysis and transforms