A sharp general Ostrowski type inequality. (English) Zbl 1225.26049

Generalizations of the Ostrowski type inequalities in \(L_{\infty}\) norm due to P. Cerone et al. [Demonstratio Math. 32, No. 4, 697–712 (1999; Zbl 0959.26010)] and the author [Math. Comput. Modelling 48, 949–960 (2008; Zbl 1156.26305)] are given. Certain special cases are also considered.


26D15 Inequalities for sums, series and integrals
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[1] DOI: 10.1016/j.mcm.2007.12.004 · Zbl 1156.26305
[2] DOI: 10.1098/rspa.2005.1505 · Zbl 1186.26017
[3] Cerone, Demonstratio Math. 32 pp 697– (1999)
[4] Pearce, Math. Inequal. Appl. 3 pp 25– (2000)
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