Generalizations of the mean values and their inequalities (Q794790)
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scientific article; zbMATH DE number 3859442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizations of the mean values and their inequalities |
scientific article; zbMATH DE number 3859442 |
Statements
Generalizations of the mean values and their inequalities (English)
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1983
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The author generalizes root-mean-powers, their limits and inequalities to \[ s(r,t,a_ 1,...,a_ n)=(((n-1)!\Gamma(t+1)/\Gamma(t+n))[a^ r_ 1,...,a^ r_ n]y^{n-1+t})^{1/rt} \] where \([a_ 1,...,a_ n]f\) is the (n-1)-st order divided difference of f with base points \(a_ 1,...,a_ n\).
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generalized means
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splines
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gamma function
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root-mean-powers
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inequalities
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divided difference
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0.9068395
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0.9067931
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