Convergence and high order of approximation by Steklov sampling operators
DOI10.1007/S43037-024-00377-3MaRDI QIDQ6646858
Publication date: 3 December 2024
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
modulus of smoothnessquantitative estimates\(L^p\)-approximationSteklov meanshigh order of approximationHardy-Littelwood maximal functionstrang-fix type conditions
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)
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