Direct and converse approximation theorems in neutrosophic  space

Alaa Adnan Auad^{1, *} , Mohammed A. Hilal²

¹Department of Mathematics, College of Education for pure science, University of Al-Anbar

²Middle Technical University, Technical Institute of Baquba, Diyala – Iraq

Emails: alaa.adnan.auad@uoanbar.edu.iq; mohammed_azeez_hilal@mtu.edu.iq

Abstract

A neutrosophic is a strong framework to characterize novel mathematical structures. This framework is more suitable and flexible set side by side to fuzzy sets and intuitionistic fuzzy sets. In this work, we focus on some famous mathematical spaces like  when we work on displaying a feature the immediate and contrary theorems of unrestrained functions in the space  are considered. Also, some characteristics of modification symmetric and modulus of neutrosophic smoothness have been discussed. Moreover, the identical among approximate tools such as the neutrosophic K-functional and neutrosophic modulus of softness.  

Keywords: Neutrosophic K-functional; modulus of softness; unrestrained functions; neutrosophic  space and modification symmetric