Function Smoothing by Repeated Averaging

Abstract

General formulas for smooth univariate shape preserving approximation and allied accuracy preserving approximation are derived. Shape preserving properties of the smoothing operators are discussed, equivalent kernel forms are obtained, and thorough error analyses (with and without noise) are conducted for the smoothing operators and their derivatives. The class of functions to be approximated is the piecewise polynomials of possibly low smoothness.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA196575

Entities

People

  • Royce Soanes

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Computer-Aided Manufacturing
  • Data Analysis
  • Engineering
  • Equations
  • Error Analysis
  • Errors
  • Inequalities
  • Military Research
  • New York
  • Plastic Explosives
  • Polynomials
  • Probability
  • Probability Distributions
  • Random Variables
  • Security

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.