New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications
arXiv:1408.1497
Abstract
In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type inequalities for --integral are pointed out. Finally, as application; an error estimation of a general quadrature rule for --integral via Ostrowski--generalized trapezoid quadrature formula is given.
22 pages