AN OSTROWSKI TYPE INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS AND APPLICATIONS

DOI10.3846/13926292.2016.1185473zbMath1488.26061OpenAlexW2468645148MaRDI QIDQ5011635

Mehmet Zeki Sarikaya, Hüseyin Budak, Samet Erden

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.3846/13926292.2016.1185473

zbMATH Keywords

numerical integrationOstrowski inequalityspecial means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ Inequality of Ostrowski type for mappings with bounded fourth order partial derivatives ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ LYAPUNOV-TYPE INEQUALITIES FOR LOCAL FRACTIONAL DIFFERENTIAL SYSTEMS ⋮ Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications ⋮ Some new Hermite-Hadamard type integral inequalities for twice differentiable \(s\)-convex functions

Cites Work

• Some Ostrowski type inequalities
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• Some Hadamard-like inequalities via convex and \(s\)-convex functions and their applications for special means
• Ostrowski type inequalities for \(s\)-logarithmically convex functions in the second sense with applications
• Generalized \(n\) dimensional Ostrowski type and Grüss type inequalities on time scales
• Ostrowski-type inequalities via \(h\)-convex functions with applications to special means
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• On the Ostrowski type integral inequality for double integrals
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