Two Applications of Approximate Differentiation Formulae: An Extremum Problem for Multiply Monotone Functions and the Differentiation of Asymptotic Expansions.

Abstract

This report presents two further applications of very elementary formulae of approximate differentiation. The first is a new derivation in a somewhat sharper form of a theorem of V. M. Olovyanisnikov on multiply monotone functions. The second applications gives sufficient conditions for the differentiability of asymptotic expansions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA096662

Entities

People

  • Isaac Jacob Schoenberg

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Complex Variables
  • Computer Science
  • Continents
  • Contracts
  • Discontinuities
  • Identities
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Monotone Functions
  • North Carolina
  • Numerical Analysis
  • Sequences
  • Step Functions
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis