Difference Sequence Spaces Derived by Generalized Weighted Mean

2010/07/25 by Harun Polat, Polat, Harun, Vatan Karakaya +3
Mathematics · #46A05 #46A35 #46A45 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1007.4288

openalex publication_date 2010/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we define new sequence spaces by combining generalized weighted mean and difference operator. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the alpha, beta and gamma duals, and obtain bases for these sequence spaces. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,v,):ℓ_∞) and (c(u,v,):c) are established.

Citations

• On Certain Sequence Spaces

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