Some Important Classes of the Continuous and Complex Interval-Valued Functions

Year 2023, Volume: 4 Issue: 1, 46 - 55, 31.01.2023

Halise Levent Yılmaz Yılmaz

https://doi.org/10.54974/fcmathsci.1158871

Abstract

This paper presents some important classes of the continuous functions defined from the set of real numbers to the space of complex intervals. These function spaces have an algebraic structure named as a quasilinear space which is suggested by Aseev in 1986. In this work, we analysis the quasilinear structure on the classes of the continuous and complex interval-valued functions. Further, we show that these spaces are the normed Ω-spaces. Finally, we examine the dimension of these function spaces.

Keywords

Normed quasilinear space, Complex interval, Continuous function, Dimension of a quasilinear space

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