scholarly journals Mean convergence of orthogonal Fourier series and interpolating polynomials

2005 ◽  
Vol 107 (1-2) ◽  
pp. 119-147 ◽  
Author(s):  
Y. Xu
Keyword(s):  
Fourier Series ◽  
Mean Convergence ◽  
Interpolating Polynomials

scholarly journals Mean convergence of Walsh-Fourier series

1964 ◽  
Vol 16 (2) ◽  
pp. 183-188 ◽  
Author(s):  
Chinami Watari
Keyword(s):  
Fourier Series ◽  
Mean Convergence

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.

Mean convergence of Fourier series

1989 ◽  
Vol 41 (4) ◽  
pp. 482-487
Author(s):  
P. V. Zaderei
Keyword(s):  
Fourier Series ◽  
Mean Convergence
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