DOI

This work is one of a series of papers that is devoted to the further investigation of polynomial splines and trigonometric splines of the third order approximation. Polynomial basis splines are better known and therefore more commonly used. However, the use of trigonometric basis splines often provides a smaller approximation error. In some cases, the use of the trigonometric approximations is preferable to the polynomial approximations. Here we continue to compare these two types of approximation. The Lebesgue functions and constants are discussed for the polynomial splines and the trigonometric splines. The examples of the applications of the splines to image enlargement are given.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalWSEAS Transactions on Mathematics
Volume19
DOIs
StatePublished - 1 Jan 2020

    Research areas

  • Enlarging image, Image processing, Interpolation, Lebesgue constant, Polynomial splines, Trigonometric splines

    Scopus subject areas

  • Algebra and Number Theory
  • Endocrinology, Diabetes and Metabolism
  • Statistics and Probability
  • Discrete Mathematics and Combinatorics
  • Management Science and Operations Research
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

ID: 53627032