Some results on comparing two integral means for absolutely continuous functions and applications (Q2922940)
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scientific article; zbMATH DE number 6355703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on comparing two integral means for absolutely continuous functions and applications |
scientific article; zbMATH DE number 6355703 |
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15 October 2014
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Grüss inequality
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Ostrowski's inequality
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integral means
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special mean
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probability density function
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0.9480051
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0.94757473
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0.88171995
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0.8728092
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0.8680766
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0.8652451
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0.86508507
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Some results on comparing two integral means for absolutely continuous functions and applications (English)
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Some new estimates for the difference between the integral mean of a function and its mean over a subinterval are derived and proved. The results obtained are improvements of the results of \textit{N. S. Barnett} et al. [Comput. Math. Appl. 44, No. 1--2, 241--251 (2002; Zbl 1014.26016)] and \textit{S. S. Dragomir} and \textit{S. Wang} [Comput. Math. Appl. 33, No. 11, 15--20 (1997; Zbl 0880.41025)]. Applications of the results obtained to special means and probability density functions are also given and discussed.
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