Sharp integral inequalities based on general Euler two-point formulae

DOI10.1017/S1446181100009676zbMath1081.26017OpenAlexW2083431809MaRDI QIDQ3023709

Ivan Perić, Ana Vukelić, Josip E. Pečarić

Publication date: 5 July 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100009676

zbMATH Keywords

numerical integrationerror boundsboundary correctionintegral inequalitiesEuler-MacLaurin formula

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (8)

Two-point Ostrowski's inequality ⋮ Generalization of two-point Ostrowski's inequality ⋮ Estimates for the Gauss four-point formula for functions with low degree of smoothness ⋮ SHARP INTEGRAL INEQUALITIES BASED ON GENERAL TWO-POINT FORMULAE VIA AN EXTENSION OF MONTGOMERY’S IDENTITY ⋮ General Euler -- Ostrowski formulae and applications to quadratures ⋮ Quadrature formulae of Gauss type based on Euler identities ⋮ GENERAL THREE-POINT QUADRATURE FORMULAS OF EULER TYPE ⋮ INTEGRAL ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED INEQUALITIES FOR QUADRATURE FORMULAE

Cites Work

• Unnamed Item
• Improvement of some inequalities of Euler-Grüss type
• Sharp integral inequalities of the Hermite-Hadamard type
• On Euler trapezoid formulae
• Two-point formulae of Euler type
• Some inequalities of Euler-Grüss type

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