Differences between means with bounds from a Riemann-Stieltjes integral

Riemann-stieltjes Integral Operators between Weighted Bergman Spaces

This note completely describes the bounded or compact Riemann-Stieltjes integral operators T g acting between the weighted Bergman space pairs (A p α , A q β) in terms of particular regularities of the holomorphic symbols g on the open unit ball of C n .

The Riemann-stieltjes Integral on Time Scales

We study the process of integration on time scales in the sense of Riemann-Stieltjes. Analogues of the classical properties are proved for a generic time scale, and examples are given.

A Companion of Ostrowski’s Inequality for the Riemann-stieltjes Integral

Error bounds in approximating the Riemann-Stieltjes integral of Cn+1-class integrands and nonsmooth integrators

In the present paper we investigate the problem of approximating the Riemann-Stieltjes integral R b a f ( ) du ( ) in the case when the integrand f is (n+ 1)-time di¤erentiable (n 0) and the derivative f (n+1) is continuous on [a; b], while the integrator u is Riemann integrable on [a; b] : A priory error bounds for di¤erent classes of functions are provided.

Some Inequalities Relating to Upper and Lower Bounds for the Riemann––stieltjes Integral

Some new inequalities are obtained relating to the generalized trapezoid and midpoint rules for the Riemann–Stieltjes integral with a convex integrand and monotone nondecreasing integrator. Results are deduced for the special case of weighted Riemann integrals. Mathematics subject classification (2000): Primary 26D15, Secondary 26D10..