Yazar "Bişgin, Mustafa Cemil" için listeleme
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The binomial almost convergent and null sequence spaces
Bişgin, Mustafa Cemil (2018)In this paper, we introduce the sequence spaces f(Br;s), f0(Br;s) and fs(Br;s) which generalize the Kiri¸sÁiís work [16]. Moreover, we show that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces ... -
The binomial sequence spaces of nonabsolute type
Bişgin, Mustafa Cemil (Springeropen, 2016)In this paper, we introduce the binomial sequence spaces b(0)(r,s) and b(c)(r,s) of nonabsolute type which include the spaces c(0) and c, respectively. Also, we prove that the spaces b(0)(r,s) and b(c)(r,s) are linearly ... -
The binomial sequence spaces which include the spaces l(p) and l(infinity) and geometric properties
Bişgin, Mustafa Cemil (Springeropen, 2016)In this work, we introduce the binomial sequence spaces b(p)(r,s) and b(infinity)(r,s) which include the spaces l(p) and l(infinity), in turn. Moreover, we show that the spaces b(p)(r,s) and b(infinity)(r,s) are BK-spaces ... -
Compactness of quadruple band matrix operator and geometric properties
Bişgin, Mustafa Cemil; Sönmez, Aldulcabbar (Sciendo, 2022)In this work, we characterize the class of compact matrix operators from c(0)(Q), c(Q) and l(infinity)(Q) into c(0), c and l(infinity), respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, ... -
Four new sequence spaces obtained from the domain of quadruple band matrix operator
Bişgin, Mustafa Cemil (Association of Mathematicians (MATDER), 2024)In this work, we construct the new sequence spaces c0 (Q), c(Q), ℓ∞ (Q) and ℓp (Q) derived by the domain of quadruple band matrix, which generalizes the matrices ∆3, B(r, s, t), ∆2, B(r, s), ∆, where ∆3, B(r, s, t), ∆2, ... -
Matrix transformations and compact operators on the binomial sequence spaces
Bişgin, Mustafa Cemil (Kangwon-Kyungki Mathematical Soc, 2019)In this work, we characterize some matrix classes concerning the Binomial sequence spaces b(infinity)(r,s) and b(p)(r;s), where 1 <= p < infinity. Moreover, by using the notion of Hausdorff measure of noncompactness, we ... -
A note on the sequence space
Bişgin, Mustafa Cemil (2017)Bu çalışmada, Binom ve genelleştirilmiş fark(ikili band) matrislerinin kompozisyonu ile türetilen , ( ) dizi uzayı tanımlandı ve , ( ) uzayının 1 <= < ? durumlarında uzayına lineer olarak izomorfik olduğu gösterildi. Ayrıca, ... -
Some Notes On The Sequence Spaces l(p)(lambda)(G(m)) and l(infinity)(lambda) (G(m))
Bişgin, Mustafa Cemil (Gazi University, 2017)In this work, we introduce the sequence spaces l(p)(lambda) (G(m)) and l(infinity)(lambda) (G(m)) derived by the domain of the composition of m- th order generalized difference matrix and lambda matrix. Moreover, we determine ...
