Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications

DOI10.4067/S0719-06462015000200003zbMath1334.26043OpenAlexW1951633867MaRDI QIDQ3465901

Sever Silvestru Dragomir

Publication date: 29 January 2016

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0719-06462015000200003

zbMATH Keywords

selfadjoint operatorsfunctions of bounded variationgeneralized trapezoid inequalitycumulative variation

Mathematics Subject Classification ID

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

Related Items (1)

Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications

Cites Work

• Error inequalities for a generalized trapezoid rule
• Hadamard's inequality and trapezoid rules for the Riemann-Stieltjes integral
• A companion for the Ostrowski and the generalised trapezoid inequalities
• 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.
• Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral.
• 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
• NEW INEQUALITIES OF OSTROWSKI AND TRAPEZOID TYPE FOR N-TIME DIFFERENTIABLE FUNCTIONS
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