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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