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Volume 2, Issue 3, Article 28 |
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On Some Generalizations of Steffensen's Inequality and Related Results
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Authors: |
Pietro Cerone, |
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Keywords:
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Steffensen's Inequality, Chebychev functional |
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Date Received:
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08/01/01 |
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Date Accepted:
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19/03/01 |
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Subject Codes: |
26D15,26D10,26D99
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Editors: |
Hillel Gauchman, |
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Abstract: |
Steffensen's inequality is generalised to allow bounds involving any two subintervals rather than restricting them to include the end points. Further results are obtained involving an identity related to the generalised Chebychev functional in which the difference of the mean of the product of functions and the product of means of functions over different intervals is utilised. Bounds involving one subinterval are also presented.
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