Some Properties of Differentiable and Riemann Integrable Functions via δ-fine Tagged Partitions

Authors

  • Sirinya Prongjit Department of General Science, Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus, Sakon Nakhon, Thailand
  • Patarawadee Prasertsang Department of General Science, Faculty of Science and Engineering, Kasetsart University, Chalermprakiat Sakon Nakhon Province Campus, Sakon Nakhon 47000, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6496

Keywords:

$\delta$-fine tagged partitions, differentiable function, full covers, Riemann integrable function

Abstract

The concept of δ-fine tagged partitions is used to simplify and unify proofs of various theorems in elementary real analysis. This paper is a continuation of the author’s project to present some properties of differentiable functions via δ-fine tagged partitions. Some basic theorems concerning Riemann integrable functions are also reproved by this concept.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Sirinya Prongjit, Patarawadee Prasertsang

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How to Cite

Some Properties of Differentiable and Riemann Integrable Functions via δ-fine Tagged Partitions. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6496. https://doi.org/10.29020/nybg.ejpam.v18i3.6496