Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums
Here the author establishes matching direct and two-term strong converse estimates of the rate of weighted simultaneous approximation by the Bernstein operator and its iterated Boolean sums for smooth functions in \(L_p\)-norm, \(1 < p \leq\infty\). The characterization is stated in terms of appropriate moduli of smoothness or \(K\)-functionals. Also, analogous results concerning the generalized Kantorovich operators are derived.
scientific article; zbMATH DE number 6485848
scientific article