Summability Theory and Its Applications explains various aspects of summability and
demonstrates its applications in a rigorous and coherent manner. The content can readily …

We study the sequence space X pq obtained by using the domain of q-analogue of the
Cesàro matrix C (q)=(cijq) defined by cijq={qj− 1 [i] q (1≤ j≤ i), 0 (j> i), where the notation [i] …

Let λ denote any one of the classical spaces ℓ∞, c, c0 and ℓp of bounded, convergent, null
and absolutely p-summable sequences, respectively, and λ̂ also be the domain of the …

The main object of this paper is to introduce a new Banach space derived by using a matrix
operator which is comprised of Euler's totient function. Also, we determine α, β, γ-duals of …

In the present paper, we introduce a new band matrix F ˆ and define the sequence space ℓ p
(F ˆ)={x=(xk)∈ ω:∑ k| fkfk+ 1 xk− fk+ 1 fkxk− 1| p<∞; 1≤ p≤∞}, where fk is the k th …

In the present paper, we introduce the notion of λ-convergent and bounded sequences.
Further, we define some related BK spaces and construct their bases. Moreover, we …

In the present paper, we introduce the sequence space ℓ p λ of non-absolute type and prove
that the spaces ℓ p λ and ℓ𝑝 are linearly isomorphic for 0< 𝑝≤∞. Further, we show that ℓ p λ …

The sequence space ℓ (p) was introduced and studied by Maddox [IJ Maddox, Spaces of
strongly summable sequences, Quart. J. Math. Oxford (2) 18 (1967) 345–355]. In the present …

In the present paper, we introduce the spaces c0λ (Δ) and cλ (Δ) of difference sequences
which are the BK-spaces of non-absolute type and prove that these spaces are linearly …

Let f denotes the space of almost convergent sequences introduced by Lorentz [GG Lorentz,
A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167–190] and f̂ …