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The Lebesgue Constants on Projective Spaces
(Tubitak Scientific & Technological Research Council Turkey, 2021) Kushpel, Alexander
We give the solution of a classical problem of Approximation Theory on sharp asymptotic of the Lebesgue constants or norms of the Fourier-Laplace projections on the real projective spaces P-d (R). In particular, these results extend sharp asymptotic found by Fejer [2] in the case of S-1 in 1910 and by Gronwall [4] in 1914 in the case of S-2. The case of spheres, S-d, complex and quaternionic projective spaces, P-d(C), P-d(H) and the Cayley elliptic plane P-16 (Cay) was considered by Kushpel [8].
Interpolation of Exponential-Type Functions on a Uniform Grid by Shifts of a Basis Function
(American Institute of Mathematical Sciences, 2021) Sun, Xinping; Kushpel, Alexander; Levesley, Jeremy; Jarad, Fahd
Citation - Scopus: 1
On The Problem Of Schoenberg On Rn
(University of Prishtina, 2024) Kushpel, Alexander; Taş, Kenan

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