scholarly journals Estimates of generalized Lebesgue constants of partial Fourier-Jacobi sums

2021 ◽  
Vol 16 ◽  
pp. 49
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Sums

We obtain, in some cases, estimates of generalized Lebesgue constants of Fourier-Jacobi sums in $L_{p,w}$ spaces.

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.

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 On lower bounds for generalized Lebesgue constants of Fourier-Jacobi sums in $L^p_{\rho}$ spaces

2021 ◽  
Vol 18 ◽  
pp. 91
Author(s):  
S.V. Goncharov
Keyword(s):  
Lower Bounds ◽  
Lebesgue Constants ◽  
Jacobi Sums

We obtain lower estimates for the generalized Lebesgue constants of Fourier-Jacobi sums, in the spaces of functions being integrable with the $\rho(t) = (1-t)^A (1+t)^B$ weight, therefore confirming an exactness of known upper estimates.

scholarly journals Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets

1999 ◽  
Vol 87 (1) ◽  
pp. 74-119 ◽  
Author(s):  
Ronald Evans ◽  
Henk D.L. Hollmann ◽  
Christian Krattenthaler ◽  
Qing Xiang
Keyword(s):  
Difference Sets ◽  
Gauss Sums ◽  
Cyclic Difference Sets ◽  
Jacobi Sums

scholarly journals On the Lebesgue constants of Fourier-Laplace series by Riesz Means

2017 ◽  
Vol 819 ◽  
pp. 012018
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik A. Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Torla Bin Hj Hassan
Keyword(s):  
Lebesgue Constants ◽  
Riesz Means ◽  
Laplace Series

Lebesgue constants of Gaussian cardinal interpolation operators from l (ℤ) into L (ℝ)

2006 ◽  
Vol 32 (4) ◽  
pp. 265-277
Author(s):  
Cao Hui ◽  
Liu Yongping
Keyword(s):  
Lebesgue Constants ◽  
Cardinal Interpolation ◽  
Interpolation Operators

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

Behavior of Lebesgue constants

1975 ◽  
Vol 17 (3) ◽  
pp. 233-235 ◽  
Author(s):  
V. A. Yudin
Keyword(s):  
Lebesgue Constants

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

scholarly journals Perfect difference systems of sets and Jacobi sums

2009 ◽  
Vol 309 (12) ◽  
pp. 3954-3961 ◽  
Author(s):  
Ryoh Fuji-Hara ◽  
Koji Momihara ◽  
Mieko Yamada
Keyword(s):  
Jacobi Sums ◽  
Difference Systems ◽  
Difference Systems Of Sets
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