Trapezoid type inequalities for complex functions defined on the unit circle with applications for unitary operators in Hilbert spaces

DOI10.1515/GMJ-2016-0012zbMath1342.26052OpenAlexW3023187090MaRDI QIDQ292402

Sever Silvestru Dragomir

Publication date: 8 June 2016

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0012

zbMATH Keywords

spectral theoryquadrature rulesRiemann-Stieltjes integral inequalitiestrapezoid type inequalitiesunitary operators in Hilbert spaces

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (3)

Generalized trapezoid type inequalities for functions with values in Banach spaces ⋮ Several Grüss'-type inequalities for the complex integral ⋮ New generalized trapezoid-type inequalities for complex functions defined on the unit circle and their applications

Cites Work

• Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications
• Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
• Inequalities for Stieltjes integrals with convex integrators and applications
• Approximation of the Stieltjes integral and applications in numerical integration.
• Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
• A companion of Ostrowski's inequality for the Riemann-Stieltjes integral \(\int_a^bf(t)du(t)\), where \(f\) is of bounded variation and \(u\) is of \(r\)-\(H\)-Hölder type and applications
• 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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