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Binomial difference sequence spaces of fractional order.


ABSTRACT: In this paper, we introduce the sequence spaces b0r,s(?(?)) , bcr,s(?(?)) , and b?r,s(?(?)) . We investigate some functional properties, inclusion relations, and the ?-, ?-, ?-, and continuous duals of these sets.

SUBMITTER: Meng J 

PROVIDER: S-EPMC6182427 | biostudies-other | 2018

REPOSITORIES: biostudies-other

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Binomial difference sequence spaces of fractional order.

Meng Jian J   Mei Liquan L  

Journal of inequalities and applications 20181010 1


In this paper, we introduce the sequence spaces b 0 r , s ( ∇ ( α ) ) , b c r , s ( ∇ ( α ) ) , and b ∞ r , s ( ∇ ( α ) ) . We investigate some functional properties, inclusion relations, and the <i>α</i>-, <i>β</i>-, <i>γ</i>-, and continuous duals of these sets. ...[more]

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