The Band Generalized Fibonacci Difference Operator of Poisson Binomial Like Matrix on Rough Statistical Convergence on Triple Sequences and Its Rate
Resumen
In this paper, the definition of new rough statistical convergence with band generalized Fibonacci difference operator of poisson binomial like matrix is given and some general properties of rough statistical convergence are examined. Second approximation theory worked as a rate of the rough statistical convergence.
Descargas
La descarga de datos todavía no está disponible.
Citas
[1] Salih Aytar, Rough Statistical Convergence, Numerical functional analysis and
applications, 29(3-4): 291-303, 2008.
[2] A.J.Dutta, A.Esi and B.C.Tripathy , Statistically convergent triple sequence
spaces defined by Orlicz function, Journal of Mathematical Analysis, 4(2), 16-22,
2013.
[3] S. Debnath, B. Sarma, and B.Das, Some generalized triple sequence spaces of
real numbers, Journal of Nonlinear Analysis and optimization theory and applications,
6(1), 71-79, 2015.
[4] A. Esi, On some triple almost lacunary sequence spaces defined by Orlicz functions,
Research and Reviews, Discrete Mathematical Structures, 1(2), 16-25,
2014.
[5] A. Esi and M. Necdet Catalbas, Almost convergence of triple sequences, Global
Journal of Mathematical Analysis, 2(1), 6-10, 2014.
[6] A. Esi and E. Savas, On lacunary statistically convergent triple sequences in
probabilistic normed space, Applied Mathematics and information sciences, 9(1),
25-29, 2015.
[7] H. Fast, Surla convergence statistique, In Colloquium Mathematicae, vol.2, 241-
244, 1951.
[8] John A. Fridy, On Statistical convergence, Analysis, 5(4), 301-314, 1985.
[9] Sudip Kumari Pal, CH Debraj and Sudipta Dutta, Rough ideal convergence.
Hacettepe Journal of Mathematics and statistics, 42(6), 633-640, 2013.
[10] H.X. Phu, Rough convergence in normed linear spaces, Numerical functional
Analysis and Optimization, 22(1-2), 199-222, 2001.
[11] Alfred Pringsheem, Zurtheorie derzweifach, unendlichan Zahlenfolgen, Mathematische,
Annalen, 53(3), 289-321, 1900.
[12] Ahmet sahiner, Mehmet Gurdal and F.K. Duden, Triple sequences and their
statistical convergence.
[13] H.X. Phu, Rough convergence in infinite dimensional normed spaces, 2003.
[14] T. Koshy, Fibonacci and Lucus numbers with Applications, Wiley, New York
(2001).
[15] C. Priya, N. Saivaraju, and N. Subramanian, The ideal convergent sequence
spaces over np- metric spaces defined by sequence of modulus, Far East Journal
of Mathematical Sciences, ISSN 0972-0871, 92(2), 173-203, 2014.
[16] N. Subramanian, C. Priya and N. Saivaraju, Randomness of lacunary statistical
convergence of χ2 over p-metric spaces defined by sequence of modulus, Far East
Journal of Mathematical Sciences, ISSN 0972-0871, 94(1), 89-111 , 2014,.
[17] C. Priya, N. Saivaraju and N. Subramanian, The Fibonacci numbers of χ2over pmetric
spaces defined by sequence of modulus, Far East Journal of Mathematical
Sciences, ISSN 0972-0871, 93(1), 1-21, 2014.
[18] N. Subramanian, C. Priya and N. Saivaraju, The χ2 sequence space over pmetric
spaces defined by Musielak modulus, Songklanakarin Journal of science
and Technology, ISSN 0125-3395, 36(5), 591-598, 2014 .
[19] N. Subramanian, C. Priya and N. Saivaraju ,The Rχ2I of real numbers over
Musielak p-metric space, Southeast Asian Bulletin of Mathematics, 39, 133-148,2015.
[20] N. Subramanian, N. Saivaraju and C. Priya , The Ideal of χ2 of fuzzy real numbers
over fuzzy p- metric spaces defined by Musielak, Journal of Mathematical
Analysis, ISSN:2217-3412, 6, issue 1, 1-12, 2015, URL: http: www.iliras.com.
[21] C.Priya, N. Saivaraj and N. Subramanian , The ces`aro lacunary Ideal double
sequence χ2 of ϕ− statistical defined by a Musielak-Orlicz function, Applied
Mathematics and Information Science, 10(4), 1-7, 2016.
[22] C.Priya, Nagarajan Subramanian, AyhanEsi and M.Kemal Ozdemir, The Poisson
Fibonacci binomial q-Pascal matrix of triple difference operator of fractional,
Int.J.open problems Compt.Math., 18(1), 56-76, 2025.
20
applications, 29(3-4): 291-303, 2008.
[2] A.J.Dutta, A.Esi and B.C.Tripathy , Statistically convergent triple sequence
spaces defined by Orlicz function, Journal of Mathematical Analysis, 4(2), 16-22,
2013.
[3] S. Debnath, B. Sarma, and B.Das, Some generalized triple sequence spaces of
real numbers, Journal of Nonlinear Analysis and optimization theory and applications,
6(1), 71-79, 2015.
[4] A. Esi, On some triple almost lacunary sequence spaces defined by Orlicz functions,
Research and Reviews, Discrete Mathematical Structures, 1(2), 16-25,
2014.
[5] A. Esi and M. Necdet Catalbas, Almost convergence of triple sequences, Global
Journal of Mathematical Analysis, 2(1), 6-10, 2014.
[6] A. Esi and E. Savas, On lacunary statistically convergent triple sequences in
probabilistic normed space, Applied Mathematics and information sciences, 9(1),
25-29, 2015.
[7] H. Fast, Surla convergence statistique, In Colloquium Mathematicae, vol.2, 241-
244, 1951.
[8] John A. Fridy, On Statistical convergence, Analysis, 5(4), 301-314, 1985.
[9] Sudip Kumari Pal, CH Debraj and Sudipta Dutta, Rough ideal convergence.
Hacettepe Journal of Mathematics and statistics, 42(6), 633-640, 2013.
[10] H.X. Phu, Rough convergence in normed linear spaces, Numerical functional
Analysis and Optimization, 22(1-2), 199-222, 2001.
[11] Alfred Pringsheem, Zurtheorie derzweifach, unendlichan Zahlenfolgen, Mathematische,
Annalen, 53(3), 289-321, 1900.
[12] Ahmet sahiner, Mehmet Gurdal and F.K. Duden, Triple sequences and their
statistical convergence.
[13] H.X. Phu, Rough convergence in infinite dimensional normed spaces, 2003.
[14] T. Koshy, Fibonacci and Lucus numbers with Applications, Wiley, New York
(2001).
[15] C. Priya, N. Saivaraju, and N. Subramanian, The ideal convergent sequence
spaces over np- metric spaces defined by sequence of modulus, Far East Journal
of Mathematical Sciences, ISSN 0972-0871, 92(2), 173-203, 2014.
[16] N. Subramanian, C. Priya and N. Saivaraju, Randomness of lacunary statistical
convergence of χ2 over p-metric spaces defined by sequence of modulus, Far East
Journal of Mathematical Sciences, ISSN 0972-0871, 94(1), 89-111 , 2014,.
[17] C. Priya, N. Saivaraju and N. Subramanian, The Fibonacci numbers of χ2over pmetric
spaces defined by sequence of modulus, Far East Journal of Mathematical
Sciences, ISSN 0972-0871, 93(1), 1-21, 2014.
[18] N. Subramanian, C. Priya and N. Saivaraju, The χ2 sequence space over pmetric
spaces defined by Musielak modulus, Songklanakarin Journal of science
and Technology, ISSN 0125-3395, 36(5), 591-598, 2014 .
[19] N. Subramanian, C. Priya and N. Saivaraju ,The Rχ2I of real numbers over
Musielak p-metric space, Southeast Asian Bulletin of Mathematics, 39, 133-148,2015.
[20] N. Subramanian, N. Saivaraju and C. Priya , The Ideal of χ2 of fuzzy real numbers
over fuzzy p- metric spaces defined by Musielak, Journal of Mathematical
Analysis, ISSN:2217-3412, 6, issue 1, 1-12, 2015, URL: http: www.iliras.com.
[21] C.Priya, N. Saivaraj and N. Subramanian , The ces`aro lacunary Ideal double
sequence χ2 of ϕ− statistical defined by a Musielak-Orlicz function, Applied
Mathematics and Information Science, 10(4), 1-7, 2016.
[22] C.Priya, Nagarajan Subramanian, AyhanEsi and M.Kemal Ozdemir, The Poisson
Fibonacci binomial q-Pascal matrix of triple difference operator of fractional,
Int.J.open problems Compt.Math., 18(1), 56-76, 2025.
20
Publicado
2026-04-09
Sección
Special Issue: Advances in Mathematical Sciences
Derechos de autor 2026 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
