High Order Continuity Implies Good Approximations to Solutions of Certain Functional Equations.

Abstract

An entire function of exponential type A < 2 Pi is shown that there is a unique entire function f(x) of exponential type A satisfying a certain functional equation. An apparently new principle is described for generating polynomial approximations in 0 = or < X < or = 1 to the solutions of certain functional equations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA110453

Entities

People

  • Aashish Sharma
  • Isaac Jacob Schoenberg
  • T. N. T. Goodman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Coefficients
  • Computer Science
  • Continents
  • Continuity
  • Equations
  • Functional Analysis
  • Identities
  • Mathematics
  • North Carolina
  • Numbers
  • Numerical Analysis
  • Polynomials
  • Rational Numbers
  • Sequences
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research