Applied Mathematics and Mechanics (English Edition) ›› 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

  

  • 收稿日期:2006-08-17 修回日期:2007-03-16 出版日期:2007-07-18 发布日期:2007-07-18

Weighted Cebysev-Ostrowski type inequalities

Arif Rafiq, Nazir Ahmad Mir, Farooq Ahmad   

    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:2006-08-17 Revised:2007-03-16 Online:2007-07-18 Published:2007-07-18
  • Contact: Arif Rafiq

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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