On a Hilbert-type linear series operator and its applications (Q990855)
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scientific article; zbMATH DE number 5777344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a Hilbert-type linear series operator and its applications |
scientific article; zbMATH DE number 5777344 |
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On a Hilbert-type linear series operator and its applications (English)
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1 September 2010
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A Hilbert-type linear series operator and its norm are studied. In particular, several generalizations of Hilbert-type inequalities whose kernels are symmetric and homogeneous of the first order are presented and discussed. Furthermore, the reverse forms of Hilbert-type inequalities are also derived and several consequences of the obtained results are pointed out.
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Hilbert-type series operator
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Hilbert-type inequalities
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norm
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weight coefficient
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Hölder inequality
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0.92186207
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0.9212761
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0.9068044
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0.8971331
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