Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation (Q2368502)

The Beta operators of second kind are given by \[ (L_nf)(x)=\frac{1}{B(nx,n+1)}\int_{0}^{\infty}\frac{t^{nx-1}}{(1+t)^{nx+n+1}} f(t) \,dt. \] In this paper, the authors obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation. The results are similar to previous results for other operators.