Primitives of continuous functions via continuous piecewise linear functions

Hongwei Lou ^[1]
1. [1] Fudan University
  
  Fudan University
  
  China
Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 56, Nº. 7, 2025, págs. 1340-1342
Idioma: inglés
DOI: 10.1080/0020739X.2024.2348143
Enlaces
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Resumen
- In classical calculus textbooks, the existence of primitive functions of continuous functions is proved by using Riemann integrals. Recently, Patrik Lundström gave a proof via polynomials, based on the Weierstrass approximation theorem. In this note, it is shown that the proof will be easy by using continuous piecewise linear functions.