Araştırma Makalesi
BibTex RIS Kaynak Göster

On Non-Newtonian Power Series and Its Applications

Yıl 2020, Cilt: 8 Sayı: 2, 294 - 303, 27.10.2020

Öz

The purpose of this study is to examine *-Abel and *-Dirichlet tests, *-power series,

Kaynakça

  • [1] A.E. Bashirov,E.M. Kurpınar, A. Ozyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337, (2008), 36-48.
  • [2] A. Bashirov, M. Rıza, On complex multiplicative differentiation, TWMS J. Appl. Engrg. Math. 1(1) (2011), 75-85.
  • [4] Z. Cakır, Spaces of continuous and bounded function sover the field of geometric complex numbers, J. Inequal. Appl. 2013, 363, 5pages.
  • [5] A.F. Cakmak, F. Basar, On the classical sequence spaces and non-newtonian calculus, J. Inequal. Appl. 2012, Art.ID932734,13pp.
  • [6] C. Duyar, B.Sagir, O. Ogur, Some basic topological properties on non-Newtonian real line, British J. Math. Comput. Sci. 9, no.4, (2015), 300–307.
  • [7] C. Duyar, M. Erdogan, On non-Newtonian real number series, IOSR J. Math. 12, iss.6, ver.IV, (2016), 34–48.
  • [8] C. Duyar, O.Ogur, A note on topology of non-Newtonian real numbers, IOSR J. Math. 13, iss. 6, ver.IV, (2017), 11–14.
  • [9] M. Erdogan, C. Duyar, Non-Newtonian Improper Integrals ,Journal of Science and Arts,1 (42), (2018), 49-74. [10] M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Pigeon Cove, Massachusetts,1972.
  • [11] M. Grossman, The First Nonlinear System of Differential and Integral Calculus, MATHCO, Massachusetts, 1979.
  • [12] J. Grossman, Meta-Calculus: Differential and Integral, Archimedes Foundation, Rockport Massachusetts, 1sted., 1981.
  • [13] U. Kadak, Cesaro Summable Sequence Spaces over the Non-Newtonian Complex Field, J. Probab. Stat. 2016, (2016), 1-10.
  • [14] B. Sagır, F. Erdogan, On the function sequences and series in the non-Newtonian calculus, Journal of Science and Arts, 4(49), (2019), 915-936.
  • [15] S. Tekin, F. Basar, Certain sequence spaces over the non-Newtonian complex field, Abstr. Appl. Anal. 2013, Art.ID739319, 11pages.
  • [16] C. Turkmen, F. Basar, Some basic results on the geometric calculus, Commun. Fac. Sci. Univ. Ankara, Ser. A1 Math. Stat. 61 (2) (2012), 17-34.
  • [17] A. Uzer, Multiplicative type complex calculus as analternative to the classical calculus, Comput. Math. Appl. 60, (2010), 2725-2737.
  • [18] E. Unlüyol, S. Salas, Convexity and Hermite-Hadamard type inequality via Non-Newtonian calculus, Konuralp Journal of Mathematics, 7, (2019), 352-358.
Yıl 2020, Cilt: 8 Sayı: 2, 294 - 303, 27.10.2020

Öz

Kaynakça

  • [1] A.E. Bashirov,E.M. Kurpınar, A. Ozyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337, (2008), 36-48.
  • [2] A. Bashirov, M. Rıza, On complex multiplicative differentiation, TWMS J. Appl. Engrg. Math. 1(1) (2011), 75-85.
  • [4] Z. Cakır, Spaces of continuous and bounded function sover the field of geometric complex numbers, J. Inequal. Appl. 2013, 363, 5pages.
  • [5] A.F. Cakmak, F. Basar, On the classical sequence spaces and non-newtonian calculus, J. Inequal. Appl. 2012, Art.ID932734,13pp.
  • [6] C. Duyar, B.Sagir, O. Ogur, Some basic topological properties on non-Newtonian real line, British J. Math. Comput. Sci. 9, no.4, (2015), 300–307.
  • [7] C. Duyar, M. Erdogan, On non-Newtonian real number series, IOSR J. Math. 12, iss.6, ver.IV, (2016), 34–48.
  • [8] C. Duyar, O.Ogur, A note on topology of non-Newtonian real numbers, IOSR J. Math. 13, iss. 6, ver.IV, (2017), 11–14.
  • [9] M. Erdogan, C. Duyar, Non-Newtonian Improper Integrals ,Journal of Science and Arts,1 (42), (2018), 49-74. [10] M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Pigeon Cove, Massachusetts,1972.
  • [11] M. Grossman, The First Nonlinear System of Differential and Integral Calculus, MATHCO, Massachusetts, 1979.
  • [12] J. Grossman, Meta-Calculus: Differential and Integral, Archimedes Foundation, Rockport Massachusetts, 1sted., 1981.
  • [13] U. Kadak, Cesaro Summable Sequence Spaces over the Non-Newtonian Complex Field, J. Probab. Stat. 2016, (2016), 1-10.
  • [14] B. Sagır, F. Erdogan, On the function sequences and series in the non-Newtonian calculus, Journal of Science and Arts, 4(49), (2019), 915-936.
  • [15] S. Tekin, F. Basar, Certain sequence spaces over the non-Newtonian complex field, Abstr. Appl. Anal. 2013, Art.ID739319, 11pages.
  • [16] C. Turkmen, F. Basar, Some basic results on the geometric calculus, Commun. Fac. Sci. Univ. Ankara, Ser. A1 Math. Stat. 61 (2) (2012), 17-34.
  • [17] A. Uzer, Multiplicative type complex calculus as analternative to the classical calculus, Comput. Math. Appl. 60, (2010), 2725-2737.
  • [18] E. Unlüyol, S. Salas, Convexity and Hermite-Hadamard type inequality via Non-Newtonian calculus, Konuralp Journal of Mathematics, 7, (2019), 352-358.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Birsen Sağır Duyar

Fatmanur Erdogan

Yayımlanma Tarihi 27 Ekim 2020
Gönderilme Tarihi 22 Aralık 2019
Kabul Tarihi 22 Mayıs 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 2

Kaynak Göster

APA Sağır Duyar, B., & Erdogan, F. (2020). On Non-Newtonian Power Series and Its Applications. Konuralp Journal of Mathematics, 8(2), 294-303.
AMA Sağır Duyar B, Erdogan F. On Non-Newtonian Power Series and Its Applications. Konuralp J. Math. Ekim 2020;8(2):294-303.
Chicago Sağır Duyar, Birsen, ve Fatmanur Erdogan. “On Non-Newtonian Power Series and Its Applications”. Konuralp Journal of Mathematics 8, sy. 2 (Ekim 2020): 294-303.
EndNote Sağır Duyar B, Erdogan F (01 Ekim 2020) On Non-Newtonian Power Series and Its Applications. Konuralp Journal of Mathematics 8 2 294–303.
IEEE B. Sağır Duyar ve F. Erdogan, “On Non-Newtonian Power Series and Its Applications”, Konuralp J. Math., c. 8, sy. 2, ss. 294–303, 2020.
ISNAD Sağır Duyar, Birsen - Erdogan, Fatmanur. “On Non-Newtonian Power Series and Its Applications”. Konuralp Journal of Mathematics 8/2 (Ekim 2020), 294-303.
JAMA Sağır Duyar B, Erdogan F. On Non-Newtonian Power Series and Its Applications. Konuralp J. Math. 2020;8:294–303.
MLA Sağır Duyar, Birsen ve Fatmanur Erdogan. “On Non-Newtonian Power Series and Its Applications”. Konuralp Journal of Mathematics, c. 8, sy. 2, 2020, ss. 294-03.
Vancouver Sağır Duyar B, Erdogan F. On Non-Newtonian Power Series and Its Applications. Konuralp J. Math. 2020;8(2):294-303.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.