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**A new companion of Ostrowski’s inequality and its applications.**
*(English)*
Zbl 1488.26064

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 |

### 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 |

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