Weighted Cebysev-Ostrowski type inequalities

Arif Rafiq;Nazir Ahmad Mir;Farooq Ahmad

doi:10.1007/s10483-007-0707-z

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 7: 901 - 906

DOI: https://doi.org/10.1007/s10483-007-0707-z

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Weighted Cebysev-Ostrowski type inequalities

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1. Mathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
2. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

Received date: 2006-08-17

Revised date: 2007-03-16

Online published: 2007-07-18

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Abstract

In account of the famous Cebysev inequality, a rich theory has appeared in the literature. We establish some new weighted Cebysev type integral inequalities. Our proofs are of independent interest and provide new estimates on these types of inequalities.

Key words： Cebysev type inequalities; L₈(a,b) spaces; absolutely continuous functions; weight functions

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Arif Rafiq;Nazir Ahmad Mir;Farooq Ahmad . Weighted Cebysev-Ostrowski type inequalities[J]. Applied Mathematics and Mechanics, 2007 , 28(7) : 901 -906 . DOI: 10.1007/s10483-007-0707-z

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