What question did this study set out to answer?

This work aims to explore the properties of the Cesàro and Cesàro-Vietoris functions, providing insights into their mathematical significance.

April 29, 2026Ricerche di Matematica0 citationsOpen Access

Some remarks on the Cesàro - Vietoris function

GKGiuliano KlunIstituto Tecnico Industriale Alessandro Volta ASAndrea Sfecci

Key Points

This work aims to explore the properties of the Cesàro and Cesàro-Vietoris functions, providing insights into their mathematical significance.
Reviewed properties of the Cesàro function and the Cesàro-Vietoris function.
Utilized basic mathematical concepts accessible to undergraduates.
Examined topological and algebraic aspects of the functions.
Identified key properties of the Cesàro function and its relationship with topology.
Demonstrated algebraic properties relevant to undergraduate mathematics.

Abstract

Abstract Some properties of the so-called Cesàro or Cesàro–Vietoris function are explored. The proofs require only basic mathematical knowledge, which is accessible to undergraduates. We will review some topological results and also address some of the algebraic properties of this function.

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