On paranormed ideal convergent generalized difference strongly summable sequence spaces defined over \(n\)-normed spaces (Q642825)
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scientific article; zbMATH DE number 5964481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On paranormed ideal convergent generalized difference strongly summable sequence spaces defined over \(n\)-normed spaces |
scientific article; zbMATH DE number 5964481 |
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On paranormed ideal convergent generalized difference strongly summable sequence spaces defined over \(n\)-normed spaces (English)
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27 October 2011
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Summary: We introduce a new class of ideal convergent (shortly \(I\)-convergent) sequence spaces using an Orlicz function and difference operator of order \(s \geq 1\) defined over the \(n\)-normed spaces. We investigate these spaces for some linear topological structures. These investigations will enhance the acceptability of the notion of \(n\)-norm by giving a way to construct different sequence spaces with elements in \(n\)-normed spaces. We also give some relations related to these sequence spaces.
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