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Zbl 1132.46012
Mursaleen, M.; Çolak, Rifat; Et, Mikail
Some geometric inequalities in a new Banach sequence space.
(English)
[J] J. Inequal. Appl. 2007, Article ID 86757, 6 p. (2007). ISSN 1029-242X/e

Summary: The difference sequence space $m(\varphi ,p,\Delta ^{(r)^{}})$, which is a generalization of the space $m(\varphi )$ introduced and studied by {\it W. L. C. Sargent} [J.~Lond. Math. Soc. 35, No. 2, 161--171 (1960; Zbl 0090.03703)], was defined by {\it R. Çolak} and {\it M. Et} [Bull. Malays. Math. Sci. Soc. (2) 28, No. 2, 125--130 (2005)]. In this paper, we establish some geometric inequalities for this space.
MSC 2000:
*46B45 Banach sequence spaces

Citations: Zbl 0090.03703

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