Abstract
Here, we present complex multivariate simultaneous approximation for general smooth singular integral operators converging with rates to the unit operator. The associated and presented inequalities are in ⋅ p , 1 ≤ p ≤ ∞ norm and they involve multivariate related moduli of smoothness. At the end, we list as this theory’s applicators the special cases of multivariate complex Picard, Gauss–Weierstrass, Poisson–Cauchy and Trigonometric singular integral operators. This chapter relies on [2].
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