New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations

  • Büşra Sarıgöz Oktar Department of Mathematics, Akdeniz University, Antalya, Turkey
  • Muhammet Cihat Dağlı Department of Mathematics, Akdeniz University, Antalya, Turkey
Keywords: Catalan numbers, sequence spaces, matrix transformations, α-, β-, γ-duals

Abstract

UDC 512.6

We consider the domain of a conservative matrix involving Catalan and Motzkin numbers in the sequence spaces $c$ and $c_{0}.$ Moreover, the $\alpha$-, $\beta$-, and $\gamma$-duals are given and some matrix mappings are presented on the resulting spaces.

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Published
31.10.2024
How to Cite
OktarB. S., and DağlıM. C. “New Sequence Spaces Derived from the Catalan–Motzkin Matrix and Related Matrix Transformations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 10, Oct. 2024, pp. 1505 -15, doi:10.3842/umzh.v76i10.7644.
Section
Research articles