Asymptotic formulas for Lebesgue functions corresponding to the family of Lagrange interpolation polynomials

I. A. Shakirov

doi:10.1134/S0001434617070124

Asymptotic formulas for Lebesgue functions corresponding to the family of Lagrange interpolation polynomials

Authors: Shakirov I.A.¹
Affiliations:
1. Naberezhnye Chelny State Pedagogical University
Issue: Vol 102, No 1-2 (2017)
Pages: 111-123
Section: Article
URL: https://journals.rcsi.science/0001-4346/article/view/150082
DOI: https://doi.org/10.1134/S0001434617070124
ID: 150082

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

The asymptotic behavior of Lebesgue functions of trigonometric Lagrange interpolation polynomials constructed on an even number of nodes is studied. For these functions, asymptotic formulas involving concrete simplest trigonometric and algebraic-trigonometric polynomials were first obtained.

Keywords

Lagrange polynomials, Lebesgue functions and constants, asymptotic formula for a Lebesgue function, error function

About the authors

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University

Author for correspondence.
Email: iskander@tatngpi.ru
Russian Federation, Naberezhnye Chelny

Supplementary files

Supplementary Files

Action

1. JATS XML

Download

Username
Password
Remember me

Forgot password?	Register

Username
Password
Remember me

Forgot password?	Register