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  Volume 4, Issue 3, Article 55
On Some Results Involving the Cebysev Functional and its Generalisations

    Authors: Pietro Cerone,  
    Keywords: Cebysev functional, Grüss inequality, Measurable functions, Lebesgue integral, Perturbed rules.  
    Date Received: 15/11/02  
    Date Accepted: 27/05/03  
    Subject Codes:

26D15, 26D20,26D10.

    Editors: Constantin P. Niculescu,  

Recent results involving bounds of the Cebysev functional to include means over different intervals are extended to a measurable space setting. Sharp bounds are obtained for the resulting expressions of the generalised Cebysev functionals where the means are over different measurable sets.

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