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On a generalized difference sequence spaces defined by a modulus function and statistical convergence

Ahmad H. A. Bataineh
대한수학회 (The Korean Mathematical Society)|2006.04|대한수학회논문집 (Communications of the KMS)|제21권 제2호|pp. 261-272

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Abstract

In this paper, we define the sequence spaces: {small _0(Delta ^r,E,u), [V,lambda ,f,p]_1(Delta^r,E,u),, [V,lambda ,f,p]_infty (Delta ^r,E,u),, S_{_lambda} {linebreak}(Delta ^r,E,u),} and S_{lambda 0}(Delta^r,E,u), where E is any Banach space, and u=(u_k) be anysequence such that u_kneq 0 for any k , examine them and givevarious properties and inclusion relations on these spaces. Wealso show that the space S_{_lambda }(Delta ^r,E,u) may berepresented as a [V,lambda ,f,p]_1(Delta ^r,E,u) space. Theseare generalizations of those defined and studied by M. Et., Y.Altin and H. Altinok [7].

참고문헌 (17)

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