Generalised trapezoid-type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces

DOI10.1007/s00009-014-0434-xzbMath1321.26047OpenAlexW1981491445MaRDI QIDQ493289

Sever Silvestru Dragomir

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0434-x

zbMATH Keywords

spectral theoryquadrature rulesRiemann-Stieltjes integral inequalitiesunitary operators in Hilbert spacestrapezoid-type inequalities

Mathematics Subject Classification ID

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

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

• 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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