Measure-Based Extension of Continuous Functions and <i>p</i>-Average-Slope-Minimizing Regression

This work is inspired by some recent developments on the extension of Lipschitz real functions based on the minimization of the maximum value of the slopes of a reference set for this function. We propose a new method in which an integral <i>p</i>–average is optimized instead of its maxi...

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Bibliographic Details
Main Authors: Roger Arnau, Jose M. Calabuig, Enrique A. Sánchez Pérez
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/4/359