Approximation of functions in a certain Banach space by some generalized singular integrals.

We introduced the q-Picard, the q-Picard-Cauchy, the q-Gauss-Weierstrass, and the q-truncated Picard singular integrals. Using the last three mentioned integrals, the orders of approximation for functions from a generalized Holder space were determined, both in the L^p-norm and in the generalized Holder-norm. [ABSTRACT FROM AUTHOR]