Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 49-60 |
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Raj K, Esi A, Saini K. Euler Catalan Riesz Sequence Spaces their Duals and Matrix Transformations. IJMSI 2026; 21 (2) :49-60
URL: http://ijmsi.ir/article-1-2303-en.html
URL: http://ijmsi.ir/article-1-2303-en.html
Abstract:
In this article, we introduce and study Euler Catalan Riesz sequence spaces of nonabsolute type. We obtain some topological properties and Schauder basis of the newly formed sequence spaces. Moreover, we compute the α-, β-, γ-duals and characterize some matrix classes on this space. Finally, we prove that this sequence spaces are of Banach-Saks type p and has weak point property.
Keywords: Catalan numbers, Euler mean of unit order, Matrix transformations, Riesz mean, α−, β−, γ−duals.
Type of Study: Research paper |
Subject:
General
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