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Volume 4, Issue 3, Article 55 |
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On Some Results Involving the Cebysev Functional and its Generalisations
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Authors: |
Pietro Cerone, |
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Keywords:
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Cebysev functional, Grüss inequality, Measurable functions, Lebesgue integral, Perturbed rules. |
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Date Received:
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15/11/02 |
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Date Accepted:
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27/05/03 |
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Subject Codes: |
26D15, 26D20,26D10.
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Editors: |
Constantin P. Niculescu, |
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Abstract: |
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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