Hong, Huang A new companion of Ostrowski’s inequality and its applications. (English) Zbl 1488.26064 Kragujevac J. Math. 43, No. 3, 443-449 (2019). Summary: In this paper, we establish a new companion of Ostrowski type inequality for differentiable functions whose first derivatives are bounded, and give its applications to probability density function. MSC: 26D10 Inequalities involving derivatives and differential and integral operators 26D15 Inequalities for sums, series and integrals Keywords:Ostrowski inequality; bounded functions; probability density functions × Cite Format Result Cite Review PDF Full Text: Link References: [1] M. W. Alomari,A companion of Ostrowski’s inequality with applications, Transylvanian Journal of Mathematics and Mechanics3(2011), 9-14. · Zbl 1233.26006 [2] S. S. Dragomir and Th. M. Rassias (ed.),Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer academic Publishers, Dordrecht, 2002. · Zbl 0992.26002 [3] N. S. Barnett, S. S. Dragomir and I. Gomma,A companion for the Ostreowski and the generalized trapezoid inequalities, Mathematical and Computer Modeling50(2009), 179-187. · Zbl 1185.26038 [4] D. S. Mitrinovic, J. E. Pečarić and A. M. Fink,Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993. · Zbl 0771.26009 [5] M. W. Alomari,A companion of Ostrowski’s inequality for mappings whose first derivatives are bounded and applications in numerical integration, Kragujevac J. Math.36(1) (2012), 77-82. · Zbl 1289.26037 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.