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

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J A Riestra

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

J A Riestra

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English

CRC Press
20 June 1995

Functional analysis & transforms; Calculus of variations

Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

By: J A Riestra
Imprint: CRC Press
Country of Publication: United Kingdom
Volume: 329
Dimensions: Height: 280mm, Width: 210mm, Spine: 8mm
Weight: 226g
ISBN: 9780582277816
ISBN 10: 0582277817
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Pages: 136
Publication Date: 20 June 1995
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

J A Riestra (Author