A Study of Neutrosophic Real Analysis by Using the One-Dimensional Geometric AH-Isometry
1Faculty of Science, Tishreen University, Lattakia, Syria,
2Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Emails: mohammadabobala777@gmail.com; bisher.zeina@gmail.com
Abstract
The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic numbers to any power is well defined including rising to neutrosophic powers.
Keywords: Neutrosophic real analysis; AH-isometry; Integration; Differentiation; Continuity.