A study on q-analogue of Catalan sequence spaces

T Yaying, MI Kara, B Hazarika, EE Kara - Filomat, 2023 - doiserbia.nb.rs
In this study, we construct q-analog C (q) of Catalan matrix and study the sequence spaces
c0 (C (q)) and c (C (q)) defined as the domain of q-Catalan matrix C (q) in the spaces c0 and …

On the domain of q-Euler matrix in c and c0 with its point spectra

T Yaying, B Hazarika, L Mei - Filomat, 2023 - doiserbia.nb.rs
We introduce new Banach spaces eα, β 0 (q) and eα, β c (q) defined as the domain of
generalized q-Euler matrix Eα, β (q) in the spaces c0 and c, respectively. Some topological …

ON SEQUENCE SPACES DEFINED BY THE DOMAIN OF TRIBONACCI MATRIX IN c0 AND c

T Yaying, MI Kara - Korean Journal of Mathematics, 2021 - koreascience.kr
In this article we introduce tribonacci sequence spaces c0 (T) and c (T) derived by the
domain of a newly defined regular tribonacci matrix T. We give some topological properties …

[PDF][PDF] On some new sequence spaces defined by q-Pascal matrix

T Yaying, B Hazarika, F Başar - Trans. A. Razmadze Math. Inst, 2022 - rmi.tsu.ge
TAJA YAYING1, BIPAN HAZARIKA2 AND FEYZI BASAR3∗ Abstract. In this study, we
construct the q-analog P (q) of Pascal matrix and study the sequence spaces c (P (q)) and c0 …

[PDF][PDF] Paranormed Riesz difference sequence spaces of fractional order

T Yaying - Kragujevac Journal of Mathematics, 2022 - researchgate.net
176 T. YAYING spaces of absolutely summable, convergent series and bounded series,
respectively. The space l1 is normed by∑ k| xk| and the spaces cs and bs are normed by …

Some results on matrix transformation and compactness for fibonomial sequence spaces

MC Dağlı, T Yaying - Acta Scientiarum Mathematicarum, 2023 - Springer
In this paper, we introduce the Fibonomial sequence spaces b 0 r, s, F and bcr, s, F and
show that these are linearly isomorphic to the spaces c 0 and c, respectively. In addition, we …

On difference sequence spaces of fractional-order involving Padovan numbers

T Yaying, B Hazarika, SA Mohiuddine - Asian-European Journal of …, 2021 - World Scientific
In this paper, we introduce Padovan difference sequence spaces of fractional-order α, ℓ p (P ̃
(α))(1≤ p≤∞) by the composition of the fractional-order difference operator Δ (α) and the …

On some Lambda–Pascal sequence spaces and compact operators

T Yaying, F Başar - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Abstract We introduce Lambda–Pascal sequence spaces ℓ q (G), c 0 (G), c (G) and ℓ∞(G)
generated by the matrix G which is obtained by the product of Pascal matrix and Λ-matrix. It …

On the paranormed Nörlund difference sequence space of fractional order and geometric properties

T Yaying - Mathematica Slovaca, 2021 - degruyter.com
In this article we introduce paranormed Nörlund difference sequence space of fractional
order α, Nt (p, Δ (α)) defined by the composition of fractional difference operator Δ (α) …

Poisson like matrix operator and its application in p-summable space

T Yaying, B Hazarika, M Ilkhan, M Mursaleen - Mathematica Slovaca, 2021 - degruyter.com
The incomplete gamma function Γ (a, u) is defined by Γ (a, u)=∫ u∞ ta− 1 e− tdt, where u>
0. Using the incomplete gamma function, we define a new Poisson like regular matrix P …