On mean convergence of Fourier-Jacobi series

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

Estimates of generalized Lebesgue constants of partial Fourier-Jacobi sums

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

Properties of generalized Lebesgue constants for partial Fourier-Jacobi sums

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

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

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.