Merkle, Milan Remarks on Ostrowski’s and Hadamard’s inequality. (English) Zbl 0946.26016 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 10, 113-117 (1999). In this paper a general inequality is obtained starting from Taylor’s formula with an integral form of remainder. This inequality gives the Ostrowski’s and Hadamard’s inequality as special cases. Finally, the two-sided version of the Ostrowski’s inequality is given and applied in the probability theory as one possibility of estimating the tails of a distribution function concentrated on a finite interval. Reviewer: Vesna Jevremović (Beograd) Cited in 4 Documents MSC: 26D15 Inequalities for sums, series and integrals 60E15 Inequalities; stochastic orderings Keywords:Ostrowski inequality; double-sided Ostrowski inequality; Hadamard inequality; distribution function PDF BibTeX XML Cite \textit{M. Merkle}, Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 10, 113--117 (1999; Zbl 0946.26016) OpenURL