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Steffensen's inequality and estimates of error in trapezoidal rule

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Publication:1808581
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DOI10.1016/S0893-9659(98)00104-9zbMath0938.26013OpenAlexW2037558014MaRDI QIDQ1808581

Josip E. Pečarić, Neven Elezović

Publication date: 25 April 2000

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00104-9


zbMATH Keywords

integral inequalitiesSteffensen inequalitytrapezoidal ruleHayashi's inequality


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32)


Related Items (8)

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 ⋮ Some integral inequalities involving bounded higher order derivatives




Cites Work

  • An application of Hayashi's inequality for differentiable functions
  • Unnamed Item
  • Unnamed Item




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