On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings

By Feyzi Basar, Bilâl Altay. 2003

351 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d71c63abab7f17fd0898cb74d65272d9f34cf3a5

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Citations in the corpus

ON ALMOST STATISTICAL CONVERGENCE OF NEW TYPE OF GENERALIZED DIFFERENCE SEQUENCE OF FUZZY NUMBERS (2012, methodology): “The idea of difference sequences is generalized by Et and Çolak [30], Başar and Altay [31], Mursaleen [32], Tripathy et al.”
Some generalizations of the space b vp of p-bounded variation sequences (2008, background): “From this, one can deduce that the inclusion λ ⊂ λ1 also strictly holds for λ ∈ { `p, c0, c } , where 1 ≤ p ≤ ∞ and the space (`p)1 = bvp has been studied by Başar and Altay [9], (see also Çolak, Et and Malkowsky [13]).”
Certain topological properties and duals of the domain of a triangle matrix in a sequence space (2007, methodology): “Aydın and Başar [8–10], Başar and Altay [13], Başar, Altay and Mursaleen [12], and Şengönül and Başar [24].”
ALMOST CONVERGENCE AND DOUBLE SEQUENTIAL BAND MATRIX (2014, methodology): “In recent years, the difference spaces bvp consisting of the sequences x = (xk) such that (xk − xk−1) ∈ lp were studied in the case 0 < p < 1 by Altay and Başar [5], and in the case 1 ≤ p < ∞ by Başar and Altay [13], and Çolak, Et and Malkowsky [22].”
The Fine Spectra of the Difference Operator Δ Over the Sequence Space bvp, (1 ≤ p < ∞)* (2007, background): “The basis of the space bvp is also constructed and given by the following lemma: Lemma 2.1 [ 15, Theorem 3.1 ] Define the sequence b (k) = � b (k) n � n∈N of the elements of the”
On the Fine Spectrum of the Generalized Difference (2012, background): “[9] B. Altay and F. Başar, On the fine spectrum of the difference operator ∆ on 0c and c, Inform.”
On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I (2011, neutral): “We shall write `∞, c and c0 for the sequence spaces of all bounded, convergent and null sequences, respectively; which are BK-spaces with the same sup-norm defined by ‖x‖`∞ = sup k |xk|.”