scholarly journals Mean Convergence of Generalized Jacobi Series and Interpolating Polynomials, I

1993 ◽  
Vol 72 (3) ◽  
pp. 237-251 ◽  
Author(s):  
Y. Xu
Keyword(s):  
Jacobi Series ◽  
Mean Convergence ◽  
Interpolating Polynomials

scholarly journals On mean convergence of Fourier-Jacobi series

2021 ◽  
Vol 15 ◽  
pp. 70
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Order Of Growth ◽  
Jacobi Series ◽  
Jacobi Sums ◽  
Mean Convergence

We establish the order of growth of modified Lebesgue constants of Fourier-Jacobi sums in $L_{p,w}$ spaces.

On the mean convergence of Fourier–Jacobi series

2010 ◽  
Vol 62 (6) ◽  
pp. 943-960 ◽  
Author(s):  
V. P. Motornyi ◽  
S. V. Goncharov ◽  
P. K. Nitiema
Keyword(s):  
Jacobi Series ◽  
Mean Convergence ◽  
The Mean

scholarly journals Convergence of a quadrature formula for variable-signed weight functions

1998 ◽  
Vol 57 (2) ◽  
pp. 275-288
Author(s):  
H.S. Jung ◽  
K.H. Kwon
Keyword(s):  
Weight Function ◽  
Rate Of Convergence ◽  
Quadrature Formula ◽  
Modulus Of Continuity ◽  
Higher Order ◽  
Weight Functions ◽  
Quadratic Mean ◽  
Mean Convergence ◽  
Interpolating Polynomials

A quadrature formula for a variable-signed weight function w(x) is constructed using Hermite interpolating polynomials. We show its mean and quadratic mean convergence. We also discuss the rate of convergence in terms of the modulus of continuity for higher order derivatives with respect to the sup norm.

scholarly journals Mean convergence of Jacobi series

1969 ◽  
Vol 23 (2) ◽  
pp. 306-306 ◽  
Author(s):  
Benjamin Muckenhoupt
Keyword(s):  
Jacobi Series ◽  
Mean Convergence

The Mean Convergence of Orthogonal Series

1950 ◽  
Vol 72 (4) ◽  
pp. 792 ◽  
Author(s):  
G. Milton Wing
Keyword(s):  
Orthogonal Series ◽  
Mean Convergence ◽  
The Mean

scholarly journals Weak behaviour of Fourier-Jacobi series

1990 ◽  
Vol 61 (2) ◽  
pp. 222-238 ◽  
Author(s):  
JoséJ Guadalupe ◽  
Mario Pérez ◽  
Juan L Varona
Keyword(s):  
Jacobi Series
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