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Volume 2, Issue 2, Article 22 |
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Inequalities related to the Chebychev Functional Involving Integrals Over Different Intervals
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Authors: |
Ivan Budimir, Pietro Cerone, Josip E. Pecaric, |
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Keywords:
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Grüss, Chebychev and Lupas inequalities, Hölder |
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Date Received:
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22/11/00 |
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Date Accepted:
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03/03/01 |
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Subject Codes: |
26D15,26D20,26D99
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Editors: |
George Anastassiou, |
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Abstract: |
A generalised Chebychev functional involving integral means of functions over different intervals is investigated. Bounds are obtained for which the functions are assumed to be of Hölder type. A weighted generalised Chebychev functional is also introduced and bounds are obtained in terms of weighted Grüss, Chebychev and Lupas inequalities.
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