On Non-Newtonian Power Series and Its Applications
The purpose of this study is to examine *-Abel and *-Dirichlet tests, *-power series,
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- [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.