Generalized Forms of Riemann-Stieltjes Theorm

If be a monotically increasing function on [a, b] and (a), (b) are Finite and f be a Bounded function defined on [a, b] such that f R ( ), m f M, is continuous on [m, M] And h(x) = f(x) on [a, b], then h R ( ) . In this study, we generalize the above theorem in a suitable forms for both integrand and integrator