Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded

DOI10.1016/j.amc.2010.04.049zbMath1203.26031OpenAlexW2069505025MaRDI QIDQ984375

Wen-Jun Liu, Quoc-Anh Ngô

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.049

zbMATH Keywords

time scalessecond derivativeIyengar-type inequalities

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items (6)

Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations ⋮ Some new Gronwall-Bellman type nonlinear dynamic inequalities containing integration on infinite intervals on time scales ⋮ Some new delay integral inequalities in two independent variables on time scales ⋮ Some delay integral inequalities on time scales and their applications in the theory of dynamic equations ⋮ Explicit bounds to some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales ⋮ On weighted Iyengar-type inequalities for conformable fractional integrals

Cites Work

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• Ostrowski type inequalities on time scales for double integrals
• A perturbed Ostrowski-type inequality on time scales for \(k\) points for functions whose second derivatives are bounded
• The Grüss inequality on time scales
• On weighted Iyengar type inequalities on time scales
• Some integral inequalities involving bounded higher order derivatives
• A time scales version of a Wirtinger-type inequality and applications
• Steffensen's inequality and estimates of error in trapezoidal rule
• Note on an Iyengar type inequality
• Anderson's inequality on time scales
• A generalization of Ostrowski inequality on time scales forkpoints
• Inequalities on Time Scales: A Survey
• Generalised trapezoidal rules with error involving bounds of the nth derivative
• On a weighted generalization of Iyengar type inequalities involving bounded first derivative
• The Iyengar-type inequality

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