The sequence spaces ℓ p (∇ q 2)(0≤ p<∞) and ℓ∞(∇ q 2) are introduced by using the q-
difference operator∇ q 2 of the second order. Apart from studying some basic properties of …

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 …

We present a quantum analog∇ ql of the l th order backward difference operator∇ l and
analyze its basic properties. We study the sequence spaces c (∇ ql) and c 0 (∇ ql) defined …

We develop some new sequence spaces 𝓁 p (P (q)) and 𝓁∞(P (q)) by using q-Pascal matrix
P (q). We discuss some topological properties of the newly defined spaces, obtain the …

In this paper, we introduce the fibonomial sequence spaces... and..., and show that these are
BKspaces. Also, we prove that these new spaces are linearly isomorphic to ℓ< sub> p and …

In this article, we introduce Fibo-Pascal sequence spaces PFc and PF0 by utilizing a newly
defined Fibo-Pascal matrix PF. It is proved that PFc and PF0 are BK-spaces that are linearly …

In this article, we construct (p, q)-analogue C (p, q) of Cesàro matrix C 1 of order 1 and study
its properties. We introduce (p, q)-Cesàro sequence spaces X sp, q and X∞ p, q generated …

In this article, we introduce and investigate the q-Cesàro matrix C (q)=(cq uv) with q∈(0, 1)
for which we have cq uv={qv/[u+ 1] q (0≦ v≦ u) 0 (v> u), where the q-number [κ] q is given …

This article intends to develop q-Catalan sequence spaces lp (C (q)) and l∞(C (q)) due to q-
Catalan matrix C (q) in lp and l∞, respectively. Apart from obtaining some basic topological …

In this study, we construct the spaces of q-difference sequences of order m. We obtain some
inclusion relations, topological properties, Schauder basis and alpha, beta and gamma …