Abstract
When considering approximation of continuous periodic functions f: Rd → R by blending-type approximants which depend on directions ξ1,…,ξν ∈ Rd directional moduli of smoothness (1) are appropriate measures of smoothness of /. In this paper, we introduce equivalent directional K- functionals. As an application, we obtain a result on the degree of approximation by certain trigonometric blending functions.
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