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In this article we continue the study of smooth Poisson-Cauchy Type singularintegral operators on the line regarding their convergence to the unit operatorwith rates in the Lp norm, p greater equal one. The related establishedinequalities involve the higher order Lp modulus of smoothness of the engagedfunction or its higher order derivative.

Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators