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• W2155790576 abstract "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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:msubsup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mi>σ</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=normal>Δ</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msubsup><mml:mo stretchy=false>(</mml:mo><mml:mi mathvariant=script>I</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces." @default.
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• W2155790576 date "2014-05-28" @default.
• W2155790576 modified "2023-10-03" @default.
• W2155790576 title "Some New Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function" @default.
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• W2155790576 doi "https://doi.org/10.1155/2014/631301" @default.
• W2155790576 hasPublicationYear "2014" @default.
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