A study on the number of strictly increasing functions and non-decreasing functions

Authors

  • Manal Mustafa Almesbahi Department of Applied Mathematics, Faculty of Education, Zaytuna University, Libya
  • Abdurahman Masoud Abdalla Department of Pure Mathematics, Faculty of Education, Zaytuna University, Libya
  • Abdusalam Mohamed Khalifa ,Department of Pure Mathematics, Faculty of Education, Zaytuna University, Libya

Keywords:

Monotonic Functions, Strictly Increasing Functions, Decreasing Functions, Stirling's Approximation

Abstract

In this study, we looked at the functions ordered between two finite sets, focusing on strictly increasing and non-decreasing functions. We also provided mathematical formulas to determine each type of these functions. Additionally, we used Stirling's approximation to study the exponential growth of the number of these functions when the number of elements in the domain is large.

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Published

2026-09-07

How to Cite

Manal Mustafa Almesbahi, Abdurahman Masoud Abdalla, & Abdusalam Mohamed Khalifa. (2026). A study on the number of strictly increasing functions and non-decreasing functions. North African Journal of Scientific Publishing (NAJSP), 4(3), 257–260. Retrieved from https://najsp.com/index.php/home/article/view/968

Issue

Volume 4, Issue 3, 2026

Section

Applied and Natural Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.