Degree of Approximation by Multivariate Complex Generalized Discrete Singular Operators


In this chapter, we work on the general complex-valued discrete singular operators over ℝN, N ≥ 1 and their convergence to the unit operator with rates in the Lp-norm for 1 ≤ p ≤ ∞. The related established inequalities contain the higher order Lp-modulus of smoothness of the engaged function or its higher order derivative. It follows [5].

Publication Title

Series on Concrete and Applicable Mathematics