Global Smoothness Preservation and Simultaneous Approximation by Multivariate Generalized Discrete Singular Operators


In this chapter we study the multivariate generalized discrete singular operators defined on ℝN, N ≥ 1, regarding their simultaneous global smoothness preservation property with respect to Lp-norm for 1 ≤ p ≤ ∞, by using higher order moduli of smoothness. Furthermore, we study their simultaneous approximation properties. It follows [7].

Publication Title

Series on Concrete and Applicable Mathematics