Singular integral
Open AccessArticle
Trigonometric generated Lp degree of approximation
Annals of Communications in Mathematics 2023
, 6 (4)
, 209-219
DOI: https://doi.org/10.62072/acm2023060401
AbstractIn this article we continue the study of smooth Picard singular integral operators that started in [3], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor’s formula. We establish the Lp convergence of our operators to the unit operator with rates via Jackson type inequalities engaging the first Lp modulus of continuity. Of interest here is a residual appearing term. Note that our operators are not positive.