Double integral inequalities of Simpson type and applications

DOI10.1007/BF02936109zbMath1042.26012MaRDI QIDQ1428999

Nenad Ujević

Publication date: 29 March 2004

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

zbMATH Keywords

numerical integrationerror boundintegral inequalitiesSimpson formula

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (6)

On fractional Simpson type integral inequalities for co-ordinated convex functions ⋮ Error inequalities for an optimal quadrature formula ⋮ Simpson type integral inequalities for generalized fractional integral ⋮ Unnamed Item ⋮ Simpson type integral inequalities for convex functions via Riemann-Liouville integrals ⋮ Ostrowski and Simpson type inequalities for multiplicative integrals

Cites Work

• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• On Simpson's inequality and applications
• Three point rules in numerical integration.
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• Quadrature formulae
• Generalizations of some inequalities of Ostrowski-Grüss Type
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