Alguns Teoremas do Tipo Valor M\'edio: de Lagrange a Malesevic
Marcelo Bongarti, German Lozada-Cruz
TL;DR
This paper introduces various mean value theorems beyond classical calculus, highlighting their broad applicability in analysis, computational mathematics, and economics.
Contribution
It presents new mean value theorems not typically covered in standard courses, expanding their theoretical and practical relevance.
Findings
New mean value theorems with wide applicability
Theorems useful in functional equations and integral operators
Potential applications in economics and computational mathematics
Abstract
Our goal in this work is to present some mean value type theorems that are not studied in classic calculus and analysis courses. They are simple theorems yet with large applicability in mathematical analysis (for example, in the study of functional equations and integral operators), computational mathematics, economics among other areas.
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