TY - JOUR AU - Anastassiou, George A. PY - 2018/04/03 Y2 - 2024/03/28 TI - Global smoothness preservation by singular integrals JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 14 IS - 2 SE - DO - 10.22199/S07160917.1995.0002.00002 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2684 SP - 83-88 AB - Here is established that the well-known singular integrals of Picard, Poisson-Cauchy and Gauss- Weierstrass fulfill the "global smoothness preservation" property. J. e., they "ripple" less than the function they are applied on, that is producing a nice approximation to the unit. The associated inequalities are sharp. ER -