scientific article; zbMATH DE number 2143418

zbMath1061.26019MaRDI QIDQ4655017

Zheng Liu

Publication date: 10 March 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Grüss inequalityRiemann-Stieltjes integralLipschitz functiontrapezoid inequalitySimpson inequalitymidpoint inequality

Mathematics Subject Classification ID

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

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Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Bounds for the weighted Dragomir-Fedotov functional ⋮ 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 via some moments of the integrand ⋮ WEIGHTED INTEGRAL INEQUALITIES OF OSTROWSKI, ČEBYŠEV AND LUPAŞ TYPE WITH APPLICATIONS ⋮ Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces ⋮ Grüss-type integrals inequalities via generalized proportional fractional operators ⋮ Trace inequalities of Shisha-Mond type for operators in Hilbert spaces ⋮ Inequalities of Čebyšev type for Lipschitzian functions in Banach algebras ⋮ Some Gröss' type inequalities for trace of operators in Hilbert spaces ⋮ Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules ⋮ Ostrowski's type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces ⋮ Inequalities for Chebyshev Functional in Banach Algebras ⋮ Some Weighted Inequalities for Riemann–Stieltjes Integral When a Function Is Bounded ⋮ On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation ⋮ Generalised trapezoid-type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Norm inequalities of Čebyšev type for power series in Banach algebras ⋮ On some Grüss' type inequalities for the complex integral ⋮ A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

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