Global Smoothness Preservation and Simultaneous Approximation by Multivariate Generalized Discrete Singular Operators
Abstract
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
Recommended Citation
Anastassiou, G., & Kester, M. (2017). Global Smoothness Preservation and Simultaneous Approximation by Multivariate Generalized Discrete Singular Operators. Series on Concrete and Applicable Mathematics, 20, 253-288. https://doi.org/10.1142/9789813145849_0010
COinS
