In the present paper we give quantitative type theorems for differences of different bivariate positive linear operators by using weighted modulus continuity. Similar estimates are obtained via K-functional and Chebyshev functionals. Moreover, an example involving Szasz Szasz-Kantorovich is given.

We generalise the Riesz representation theorems for positive linear functionals on $$\text {C}_{\text {c}}(X)$$ and {0}}(X)$$ , where X is a locally compact Hausdorff space, to operators from these spaces into partially ordered vector space E. The representing measures are defined Borel $$\sigma $$ -algebra of take their values in extended cone corresponding integrals order integrals. give expl...