INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I

DOI10.15393/j3.art.2015.2809zbMath1339.26047OpenAlexW2616605241MaRDI QIDQ2814971

Sever Silvestru Dragomir

Publication date: 23 June 2016

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15393/j3.art.2015.2809

zbMATH Keywords

selfadjoint operatorsunitary operatorsfunctions of bounded variationRiemann-Stieltjes integralcumulative variationChebyshev and (CBS)-type functionalstrapezoid and midpoint inequalities

Mathematics Subject Classification ID

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

Cites Work

• New weighted Ostrowski and čebyšev type inequalities
• Improvements of the Ostrowski integral inequality for mappings of bounded variation. II.
• Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces
• Improvements of the Ostrowski integral inequality for mappings of bounded variation. I.
• A note on some Ostrowski-like type inequalities
• Error inequalities for a generalized trapezoid rule
• Some Ostrowski type inequalities and applications
• Hadamard's inequality and trapezoid rules for the Riemann-Stieltjes integral
• A companion for the Ostrowski and the generalised trapezoid inequalities
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation
• Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• Univariate Ostrowski inequalities, revisited
• Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral.
• Remarks on Ostrowski-like inequalities
• On the optimal constants of Ostrowski-like inequalities involving \(n\) knots
• On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
• A note to Ujević's generalization of Ostrowski's inequality
• A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE
• A SHARP GENERAL OSTROWSKI TYPE INEQUALITY
• NEW INEQUALITIES OF OSTROWSKI AND TRAPEZOID TYPE FOR N-TIME DIFFERENTIABLE FUNCTIONS
• Ostrowski Type Inequalities
• Univariate right fractional Ostrowski inequalities
• A new generalization of the Ostrowski inequality and applications
• The Ostrowski integral inequality for mappings of bounded variation
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