Some new difference sequence spaces of invariant means defined by ideal and modulus function (Q1637850)
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scientific article; zbMATH DE number 6883061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some new difference sequence spaces of invariant means defined by ideal and modulus function |
scientific article; zbMATH DE number 6883061 |
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Some new difference sequence spaces of invariant means defined by ideal and modulus function (English)
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11 June 2018
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Summary: The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of \(S^{\Delta^m}_{\theta_\sigma}(\mathcal I)\)-convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces.
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sequence space
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modulus function
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invariant mean
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difference sequences
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ideal convergence
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0.94267386
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0.93344045
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0.9142224
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0.9134983
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0.91322917
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