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.

Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces L 1,A,B

2014 ◽  
Vol 66 (2) ◽  
pp. 289-299
Author(s):  
O. V. Motornaya ◽  
V. P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Series

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

The Lebesgue Constants for Jacobi Series, I

1959 ◽  
Vol 10 (5) ◽  
pp. 756 ◽  
Author(s):  
Lee Lorch
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Series

scholarly journals Asymptotic expansions of the Lebesgue constants for Jacobi series

1986 ◽  
Vol 122 (2) ◽  
pp. 391-415 ◽  
Author(s):  
C. Frenzen ◽  
Roderick Wong
Keyword(s):  
Asymptotic Expansions ◽  
Lebesgue Constants ◽  
Jacobi Series

scholarly journals Mean convergence of Jacobi series

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

scholarly journals Properties of generalized Lebesgue constants for partial Fourier-Jacobi sums

2021 ◽  
Vol 17 ◽  
pp. 91
Author(s):  
O.V. Motorna ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Sums

Properties of the generalized Lebesgue constants for the Fourier-Jacobi sums are obtained.

scholarly journals The Lebesgue constants for Jacobi series. I

1959 ◽  
Vol 10 (5) ◽  
pp. 756-756
Author(s):  
Lee Lorch
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Series
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