KONIG'S THEOREM AND A POSSIBLE GENERALIZATION.

Abstract

The possibility of generalizing Konig's Theorem to functions of more than one variable is investigated. The generalized Taylor series expansion of a function of several variables is introduced, and the ratio of coefficients in the expansion is defined using Frechet derivatives. It is shown that for a particular example of a function of two variables the generalized Konig's Theorem holds. The theorem is then shown to hold for a large class of functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1968
Accession Number
AD0832201

Entities

People

  • Patricia C. Johnson

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Mathematical Analysis
  • Mathematics
  • Sequences
  • Sequences (Mathematics)

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis