In this work we introduce a new ( , , , ) B p F q s g sequence space that consists of F f k a modulus function, p p k a sequence with positive terms and A a mk a matrix with positive terms, and study some topological properties of this space and some inclusion relations related to this space.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this work we introduce a new ( , , , ) B p F q s g sequence space that consists of F f k a modulus function, p p k a sequence with positive terms and A a mk a matrix with positive terms, and study some topological properties of this space and some inclusion relations related to this space.
📊
Key Findings & Data:In this work we introduce a new ( , , , ) B p F q s g sequence space that consists of F f k a modulus function, p p k a sequence with positive terms and A a mk a matrix with positive terms, and study some topological properties of this space and some inclusion relations related to this space.
💡
Conclusion & Impact:In this work we introduce a new ( , , , ) B p F q s g sequence space that consists of F f k a modulus function, p p k a sequence with positive terms and A a mk a matrix with positive terms, and study some topological properties of this space and some inclusion relations related to this space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Modulus fonksiyonu · Dizi uzayları · Topoloji.
Abstract
In this work we introduce a new ( , , , ) B p F q s g sequence space that consists of F f k a modulus function, p p k a sequence with positive terms and A a mk a matrix with positive terms, and study some topological properties of this space and some inclusion relations related to this space.
Özet
Bu çalışmada F f k bir modulus fonksiyon dizisi, p p k pozitif terimli bir dizi ve A a mk pozitif terimli sonsuz bir matris olmak üzere ( , , , ) B p F q s g dizi uzayı tanımlanarak, bu uzayın bazı Topolojik özellikleri ve uzayla ilgili bazı kapsama bağıntıları verilecektir.
AKBAYIR, K., BİLGİN, T. (2018). B p F q s g Sequence Space On The Spaces With Seminorm. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 18 - Sayı: 1, 118–124. https://ajindex.com/articles/451489
Akbayır, K., 2003. Modulus fonksiyon dizileri yardımıyla tanımlanmış bazı dizi uzayları, Doktora Tezi, Yüzüncü Yıl Üniversitesi,
Fen Bilimler Enstitüsü. Van. Banerji, P.K.; Galiz, A.S., 2000. Weighted composition operators on the modulus function space. J.Indian Math.Soc. 67(1-4): 53-58.
Bhardwaj, V. K., Bala, I., 2009. The sequence space F(Xk, f, p, s) on seminormed spaces, Tamkang J. Math. 40: 247–256
Bilgin, T., 1994. The sequence space `(p, f, q, s) on seminormed spaces. Bull. Calcutta Math. Soc. 86: 295–304.
Bilgin, T., 1996. On strong A-summability defined by a modulus, Chinese J. Math. 24 159–166.
Bilgin, T.,2004., Lacunary strong A-convergence with respect to a sequence of modulus functions, Appl. Math. Comput. 151: 595– 600. Bilgin, T, Altun, Y., 2007, Strongly (V λ, A, p)- summable sequence spaces defined by a modulus, Math. Model. and Anal. 12: 419– 424. Connor, J., 1989. On strong matrix summability with respect to a modulus and statistical convergence, Canad. Math. Bull. 32 (2):194- 198. Esi, A.; Et, M., 1996. Some new sequence spaces defined by a modulus function. Pure Appl. Math.Sci. 43(1-2): 95-99.
Esi, A., 2000. Some new sequence spaces defined by a modulus function. İstanbul Üniv. Fen Fak.Mat.Derg. 55/56: 17-21. Gupta, j.S.; Bhola, D.K. 1975. Maximum modulus function of entire functions defined by Dirichlet series. İstanbul Tek. Üniv. Bül. 28(1): 32-38.
Işik, M., 2011. Strongly almost (w, λ, q)-summable sequences, Math. Slovaca. 61:779–788
Karakaya, V., Şimşek N., 2004. On lacunary invariant seuqence spaces defined by a sequence of modulus functions, Appl. Math. Comput. 156: 597–603.
Kolk, E., 1990. Sequence spaces defined by a sequence of modulus. Abstracts of Conference Problems of pure and applied mathematics. Tartu. 131-134.
Kolk, E., 1997. F-seminormed sequence spaces defined by a sequence of modulus functions and strongly summability, Indian J. Pure Appl.Math. 28: 1547-1566.
Kolk, E., 1998. Inclusion relations between the statitiscal convergence and strong summability, Acta Et Commentationes Univ. Tartuensis de Mathematica. 2: 39-54.
Kolk, E., 1999. Counterexamples concerning topologization of spaces of strongly almost convergent sequence, Acta et Commentations Universitatis Tartuensis de Mathematica. 3: 63-72
Kolk, E., 2013. On generalized sequence spaces defined by modulus functions, Acta Et Commentationes Univ. Tartuensis de Mathematica. Vol 17,No 2:179 -205. Maddox, I. J., 1986.