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 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.

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