The Iyengar-type inequality

DOI10.1016/S0893-9659(01)00074-XzbMath0987.26008MaRDI QIDQ5950674

Xiao-liang Cheng

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

intervalIyengar-type inequalitymidpointsecond-order derivatives

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Note on an Iyengar type inequality ⋮ General Multivariate Iyengar Type Inequalities ⋮ Integral inequalities for n-time differentiable functions and applications ⋮ The Iyengar inequality, revisited ⋮ On an Iyengar-type inequality involving quadratures in \(n\) knots ⋮ Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded ⋮ The Iyengar type inequalities with exact estimations and the Chebyshev central algorithms of integrals ⋮ Multivariate Iyengar type inequalities for radial functions

Cites Work

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• Some integral inequalities involving bounded higher order derivatives
• Steffensen's inequality and estimates of error in trapezoidal rule
• An application of Hayashi's inequality for differentiable functions

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