2011Boletim da Sociedade Paranaense de MatemáticaOpen access

On a class of generalized sequences related to the ℓ^p space defined by Orlicz functions

Ayhan Eşi, Mehmet Açıkgöz, Ayten Esi

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Abstract

In this article, we introduce the sequence space m(M,A, φ, q) on generalizing the sequence space m(φ) which was defined by Sargent [8], defined by Orlicz functions and infinite matrices. We study its different properties like solidity, completeness, etc. Also we obtain some inclusion results involving the sequence space m(M,A, φ, q).

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What this paper is about

In this article, we introduce the sequence space m(M,A, φ, q) on generalizing the sequence space m(φ) which was defined by Sargent [8], defined by Orlicz functions and infinite matrices. We study its different properties like solidity, completeness, etc. Also we obtain some inclusion results involving the sequence space m(M,A, φ, q).

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Available abstract

In this article, we introduce the sequence space m(M,A, φ, q) on generalizing the sequence space m(φ) which was defined by Sargent [8], defined by Orlicz functions and infinite matrices. We study its different properties like solidity, completeness, etc. Also we obtain some inclusion results involving the sequence space m(M,A, φ, q).

Key concepts: Sequence (biology), Solidity, Mathematics, Space (punctuation), Completeness (order theory), Sequence space, Class (philosophy), Pure mathematics

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