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On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

Emrah Evren Kara|Serkan Demiriz|Metin Basarr
경북대학교 자연과학대학 수학과|2015.06|Kyungpook Mathematical Journal|제55권 제2호|pp. 355-372

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참고문헌

키워드

almost convergenceSequence spacesmatrix transformationsbeta-dualFibonacci matrixcore theorems
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초록

In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space cf . Also, we show that the spaces cf and bc are linearly isomorphic. Further, we determine the β-dual of the space cf and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.

Abstract

In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space cf . Also, we show that the spaces cf and bc are linearly isomorphic. Further, we determine the β-dual of the space cf and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.

참고문헌 (39)

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