Asymptotic behavior of Lebesgue constants in trigonometric interpolation

1982 ◽  
Vol 33 (6) ◽  
pp. 553-559 ◽  
Author(s):  
V. K. Dzyadyk ◽  
S. Yu. Dzyadyk ◽  
A. S. Prypik
Keyword(s):  
Asymptotic Behavior ◽  
Trigonometric Interpolation ◽  
Lebesgue Constants

A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds

1985 ◽  
Vol 37 (5) ◽  
pp. 979-1007 ◽  
Author(s):  
C. L. Frenzen ◽  
R. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Expansion ◽  
Error Bounds ◽  
Jacobi Polynomials ◽  
Lebesgue Constants ◽  
Uniform Asymptotic Expansion ◽  
Leading Term ◽  
Image Position

In a recent investigation of the asymptotic behavior of the Lebesgue constants for Jacobi polynomials, we encountered the problem of obtaining an asymptotic expansion for the Jacobi polynomials , as n → ∞, which is uniformly valid for θ in . The leading term of such an expansion is provided by the following well-known formula of “Hilb's type” [13, p. 197]:(1.1)where α > – 1, β real and ; c and are fixed positive numbers. Note that the remainder in (1.1) is always θ1/2O(n–3/2).

A Hybrid Model for European Unemployment Rate Forecasting and Its Asymptotic Behavior

2019 ◽  
Author(s):  
Tanujit Chakraborty ◽  
Ashis Kumar Chakraborty ◽  
Sayak Banerjee ◽  
Shramana Bhattacharya
Keyword(s):  
Asymptotic Behavior ◽  
Hybrid Model ◽  
Unemployment Rate
Sign in / Sign up

Export Citation Format

Share Document