Application of Summability Methods to Jackson Theorems for Splines.

Abstract

This project involved research in four mathematical areas: (1) Best local approximation in several variables for single and multi-point data sets. Hermite interpolation schemes are a special case of these schemes; (2) Analytic summability theory of eigenfunction expansions associated with singular Sturm-Liouville systems; and equisummability of eigenfunction expansions associated with elliptic operators of the same order with leading terms positive; (3) Jackson-type theorem for best one-sided approximation by one-dimensional splines; and (4) Inclusion theorems for absolute summability of divergent integrals. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1984
Accession Number
ADA146256

Entities

People

  • L. A. Raphael

Organizations

  • Howard University

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Continuous Spectra
  • Data Sets
  • Differential Equations
  • Eigenvectors
  • Engineering
  • Equations
  • Fourier Series
  • Functional Analysis
  • Integrals
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Mechanical Engineering
  • Partial Differential Equations
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra