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

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.

2021 ◽  
Vol 15 ◽  
pp. 70
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi

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


2021 ◽  
Vol 17 ◽  
pp. 91
Author(s):  
O.V. Motorna ◽  
V.P. Motornyi

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


2021 ◽  
Vol 16 ◽  
pp. 49
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi

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


Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  

10.37236/1188 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Geoffrey Exoo

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.


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