Yazarlar

• Cakir, Zafer(1)

• MakaleAçık Erişim2013Scopus SJRQ3/r/gumushane/12081
  Spaces of continuous and bounded functions over the field of geometric complex numbers

  Cakir, Zafer

  Following Grossman and Katz (Non-Newtonian Calculus, 1972), we construct the sets B(A) and C(A) of geometric complex-valued bounded and continuous functions, where A denotes the compact subset of the complex plane C. We show that the sets B(A) and C(A) of complex-valued bounded and continuous functions form a vector space with respect to the addition and scalar multiplication in the sense of multiplicative calculus. Finally, we prove that B(A) and C(A) are complete metric spaces.

  AtıfScopus10·WoS5·OpenAlex9

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