Hermitian splines with links in the form of the sum of the polynomial and exponents with an odd number of parameters

Fìz.-mat. model. ìnf. tehnol. 2021, 33:110-114

Authors

  • Yaropolk Pizyur Lviv Polytechnic National University
  • Bohdan Hnativ Lviv Polytechnic National University

DOI:

https://doi.org/10.15407/fmmit2021.33.110

Keywords:

approximation of functions, Hermitian splines, balance approximation, approximation error, kernel of the error of the approximation

Abstract

Conditions for the existence of a unique approximation of functions by Hermitian splines with a link in the form of a sum of a polynomial and an exponent with five parameters are established. Formulas for the parameters of the links of these Hermitian splines are derived. A formula for calculating the error and an expression for the kernel of the error of the balance approximation of functions by Hermitian splines with a link in the form of a sum of a polynomial and an exponent are given. Results of approximations are given.

References
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Published

2021-09-04

How to Cite

Pizyur, Y., & Hnativ, B. (2021). Hermitian splines with links in the form of the sum of the polynomial and exponents with an odd number of parameters: Fìz.-mat. model. ìnf. tehnol. 2021, 33:110-114. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (33), 110–114. https://doi.org/10.15407/fmmit2021.33.110