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

S.V. Goncharov

doi:10.15421/241011

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

S.V. Goncharov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-8071-8746

Abstract

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.

Keywords

Jacobi polynomials; Fourier-Jacobi sums; Lebesgue constants

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References

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