Meli̇sa Ti̇fti̇kçi̇er, Ni̇han Güngör, "An Overview of Generalized Cesàro Sequence Spaces in Geometric Calculus," International Journal of Computational and Applied Mathematics & Computer Science, vol. 4, pp. 120-132, 2024, DOI:10.37394/232028.2024.4.13
Meli̇sa Ti̇fti̇kçi̇er, Ni̇han Güngör. An Overview of Generalized Cesàro Sequence Spaces in Geometric Calculus.
International Journal of Computational and Applied Mathematics & Computer Science. 2024;4:120-132. 10.37394/232028.2024.4.13
International Journal of Computational and Applied Mathematics & Computer Science
E-ISSN: 2769-2477
Volume 4, 2024
An Overview of Generalized Cesàro Sequence Spaces in Geometric Calculus
Authors: ,
Abstract: In this study, we introduce the generalized Cesàro sequence space in geometric calculus and establish a G-modular on this space. The generalized geometric Cesàro sequence space is equipped with the Luxemburg G-norm induced by the G-modular. The connections of the G-modular and Luxemburg G-norm on this space are studied. In addition, we show that the generalized geometric Cesàro sequence space is a G-Banach space under the Luxemburg G-norm and it is G-nonsquare where pn > 1 for all n ∈ ℕ.
Keywords:
non-Newtonian calculus, geometric calculus, Cesàro sequence spaces, geometric Cesàro sequence spaces, G-modular, Luxemburg G-norm, G-nonsquare
Pages: 120-132 DOI: 10.37394/232028.2024.4.13WSEAS Transactions on International Journal of Computational and Applied Mathematics & Computer Science, E-ISSN: 2769-2477, Volume 4, 2024, Art. #13
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