A companion of Dragomir's generalization of the Ostrowski inequality and applications to numerical integration

DOI10.1007/s11253-012-0661-xzbMath1257.26016OpenAlexW2006980485MaRDI QIDQ1933278

Mohammad Wajeeh Alomari

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/164167

zbMATH Keywords

composite quadrature rulegeneralization of the Ostrowski integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation ⋮ Ostrowski type inequalities involving conformable fractional integrals ⋮ Unnamed Item ⋮ A companion of Ostrowski type inequalities for mappings of bounded variation and some applications ⋮ Two-point Ostrowski's inequality ⋮ Generalization of two-point Ostrowski's inequality ⋮ Conformable fractional Newton-type inequalities with respect to differentiable convex functions ⋮ A new version of Newton's inequalities for Riemann-Liouville fractional integrals ⋮ A new generalization of Ostrowski type inequalities for mappings of bounded variation ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Generalized alomari functionals ⋮ Two-point Ostrowski and Ostrowski-Grüss type inequalities with applications ⋮ Some new generalized fractional Newton's type inequalities for convex functions ⋮ Ostrowski type inequalities and some selected quadrature formulae

Cites Work

• Some inequalities of Hermite-Hadamard type for \(s\)-convex functions
• Sharp integral inequalities of the Hermite-Hadamard type
• A companion for the Ostrowski and the generalised trapezoid inequalities
• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• A generalization of Ostrowski's inequality and applications in numerical integration.
• On Simpson's inequality and applications
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS
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