A Korovkin-type theorem in the space of Riemann integrable functions

• Autores: Michelle Campiti
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 38, Fasc. 3, 1987, págs. 199-228
• Idioma: inglés
• Títulos paralelos:
  • Un teorema de tipo Korovkin en el espacio de funciones integrables Riemann
• Enlaces
  • Texto completo
• Resumen

  • We give a characterization of the Korovkin subspaces of the space $\mathcal{R}(X)$ of Riemann integrable functions over a Hausdorff compact topological space $X$, equipped with the $\mathcal{R}$-sequential convergence. Some applications are presented in the context of the space of $2\pi$-periodic real functions which are Riemann integrable on the compact real interval $[0,2\pi]$ and of the space of Riemann integrable functions on the standard simplex and the hypercube of $\mathbb{R}^p(p\geq 1)$.