Two Ostrowski type inequalities for the Stieltjes integral of monotonic functions

DOI10.1017/S0004972700039228zbMath1120.26015OpenAlexW2141987145MaRDI QIDQ3442326

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Publication date: 18 May 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039228

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (10)

Trapezoid type inequalities for complex functions defined on the unit circle with applications for unitary operators in Hilbert spaces ⋮ Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications ⋮ New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann-Stieltjes integrals and their applications ⋮ Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules ⋮ Some Weighted Inequalities for Riemann–Stieltjes Integral When a Function Is Bounded ⋮ Generalised trapezoid-type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces ⋮ THE QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH THE RIEMANN–STIELTJES INTEGRAL ⋮ A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

Cites Work

• Unnamed Item
• The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables
• Univariate Ostrowski inequalities, revisited
• Sharp inequalities of Simpson type and Ostrowski type
• On the Ostrowski generalization of Čebyšev's inequality

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