Approximation by sampling-type operators in L_p-spaces

01/23/2020

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by   Yurii Kolomoitsev, et al.

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Approximation properties of the sampling-type quasi-projection operators Q_j(f,φ, φ) for functions f from anisotropic Besov spaces are studied. Error estimates in L_p-norm are obtained for a large class of tempered distributions φ and a large class of functions φ under the assumptions that φ has enough decay, satisfies the Strang-Fix conditions and a compatibility condition with φ. The estimates are given in terms of moduli of smoothness and best approximations.