Some integral inequalities involving bounded higher order derivatives

DOI10.1016/S0895-7177(98)00098-3zbMath0992.26011OpenAlexW1857334310MaRDI QIDQ1596814

Ravi P. Agarwal, Josip E. Pečarić, Vera Čuljak

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(98)00098-3

zbMATH Keywords

Steffensen inequalityIyengar inequalityLidstone polynomialsHayashi inequality

Mathematics Subject Classification ID

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

Related Items (7)

A new Ostrowski-Grüss inequality involving \(3n\) knots ⋮ Note on an Iyengar type inequality ⋮ 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 inequality

Cites Work

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• Explicit error estimates for quintic and biquintic spline interpolation. II
• Steffensen's inequality and estimates of error in trapezoidal rule
• An application of Hayashi's inequality for differentiable functions
• Lidstone polynomials and boundary value problems

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