Abstract
Approximation properties of quasi-projection operators Q_j(f,varphi , widetilde{varphi }) are studied. These operators are associated with a function varphi satisfying the Strang–Fix conditions and a tempered distribution widetilde{varphi } such that compatibility conditions with varphi hold. Error estimates in the uniform norm are obtained for a wide class of quasi-projection operators defined on the space of uniformly continuous functions and on the anisotropic Besov-type spaces. Under additional assumptions on varphi and widetilde{varphi }, two-sided estimates in terms of realizations of the K-functional are also established.
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