Strong summability methods in a Riesz-type family (Q2893084)
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scientific article; zbMATH DE number 6049747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong summability methods in a Riesz-type family |
scientific article; zbMATH DE number 6049747 |
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Strong summability methods in a Riesz-type family (English)
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25 June 2012
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integral methods
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semi-continuous methods
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strong summability methods
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speed of convergence
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statistical convergence
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Riesz-type family
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Riesz methods
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generalized integral Nörlund methods
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Borel-type methods
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The authors define a family of strong summability methods \([A_{\alpha+1}]_{k}\) on the basis of a given Riesz-type family \(\{A_{\alpha}\}\). They prove some inclusion theorems for \([A_{\alpha+1}]_{k}\) and also compare \([A_{\alpha+1}]_{k}\)-convergence with statistical convergence. Their results generalize some theorems published earlier.
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