Difference between two Riemann-Stieltjes integral means

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

Riemann-Stieltjes type integral based on generated pseudo-operations

We shall consider generated pseudo-operations of the following form: x⊕ y = g(−1) (g(x) + g(y)) , x ̄ y = g(−1) (g(x)g(y)) , where g is a positive strictly monotone generating function and g(−1) is its pseudo-inverse. Using this type of pseudo-operations, the Riemann-Stieltjes type integral will be introduced and investigated.

On Approximation of the Riemann–stieltjes Integral and Applications

Several inequalities of Grüss type for the Stieltjes integral with various type of integrand and integrator are introduced. Some improvements inequalities are proved. Applications to the approximation problem of the Riemann–Stieltjes integral are also pointed out.