Generalized Geometric Difference Sequence Spaces and its duals

2016/03/31 by Khirod Boruah, Bipan Hazarika, Boruah, Khirod +3
Mathematics · #08A05 #11U10 #26A06 #46A45 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1603.09497

openalex publication_date 2016/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Objective of this paper is to introduce the generalized geometric difference sequence spaces l_∞^G(Δ^m_G), c^G(Δ^m_G), c₀^G(Δ^m_G) and to prove that these are Banach spaces. Then we prove some inclusion properties. Also we compute their dual spaces.

Citations

• On Certain Sequence Spaces

Related

• Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces
• New Generalized Geometric Difference Sequence Spaces
• Difference Sequence Spaces Derived by Generalized Weighted Mean
• "Some mth-order Difference Sequence Spaces of Generalized Means and Compact Operators"
• Some B-Difference Sequence Spaces Derived by Using Generalized Means and Compact Operators