Asymptoticity of Measure Theoretic Operators and Persistent Homology in Artificial Intelligence

Authors

  • Benard Okelo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • P. Omoke School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • A. Onyango School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • J. Oburu School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • F. Odhiambo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • W. Kangogo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.

Keywords:

Asymptoticity, Operator, Persistent homology, Measure, AI

Abstract

Studies in algebraic structures and their applications to computing remain interesting to date. In this work, we study asymptoticity of measure theoretic operators in norm-attainable (NA) algebras. We show that these operators are asymptotically stable in a measure theoretic sense in maximal two-sided proper rings which are subalgebras of NA algebras and that they have unique aspects that are useful in artificial intelligence.

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Published

2025-06-11

Issue

Vol. 18 No. 3 (2025): Int. J. Open Problems Compt. Math., Vol. 18, No. 3, September 2025

Section

Articles

How to Cite

Asymptoticity of Measure Theoretic Operators and Persistent Homology in Artificial Intelligence (B. Okelo, P. Omoke, A. Onyango, J. Oburu, F. Odhiambo, & W. Kangogo, Trans.). (2025). International Journal of Open Problems in Computer Science and Mathematics, 18(3), 40-46. https://ijopcm.zuj.edu.jo/index.php/IJOPCM/article/view/30
Total Downloads: 115

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