Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications
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Publication:395803
DOI10.1186/1029-242X-2013-53zbMath1285.26034MaRDI QIDQ395803
Pietro Cerone, Sever Silvestru Dragomir
Publication date: 30 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (3)
Trapezoid type inequalities for complex functions defined on the unit circle with applications for unitary operators in Hilbert spaces ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Double integral inequalities of Hermite-Hadamard type for \(h\)-convex functions on linear spaces
Cites Work
- Inequalities for Stieltjes integrals with convex integrators and applications
- Approximation of the Stieltjes integral and applications in numerical integration.
- On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
- Two Ostrowski type inequalities for the Stieltjes integral of monotonic functions
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