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.

Bibliographic Details
Main Author:	Riestra, J. A. (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Chapman and Hall/CRC, 2021.
Edition:	1st.
Subjects:	Theory of distributions (Functional analysis) Functions of several real variables. MATHEMATICS / General MATHEMATICS / Functional Analysis Electronic books.
Online Access:	Connect to the full text of this electronic book

Table 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.