PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, no.43, pp.39-52, 2011 (ESCI)
In the paper [1] we have considered a problem on approximation of lacolly summable functions by Gegenbauer singular integrals and obtained exact orderof-pointwise convergence estimate. Here we obtained the Lp,lambda convergence estimates and asymptotic theorems on approximation of functions by these integrals. The obtained results are the analogies of appropriate results from [2]-[4].