Fuzzy Global Smoothness and Fuzzy Uniform Convergence of Fuzzy Singular Integral Operators

摘要

In this article, we study the fuzzy global smoothness and fuzzy uniform convergence of fuzzy Picard, Gauss-Weierstrass and Poisson-Cauchy singular fuzzy integral operators to the fuzzy unit operator. These are given with rates involving the fuzzy modulus of continuity of a fuzzy derivative of the involved function. The produced fuzzy Jackson type inequalities are tight, containing elegant constants, and they reflect the order of the fuzzy differentiability of the engaged fuzzy function.