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On approximation of the Riemann-Stieltjes integral and applications. (English) Zbl 1349.26040
Summary: 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.
##### MSC:
 26D15 Inequalities for sums, series and integrals 26D20 Other analytical inequalities
##### Keywords:
Ostrowski inequality; bounded variation
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