Some Variants of Wayment's Mean Value Theorem for Integrals

This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

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Main Author: German Lozada-Cruz
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2025-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6619
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author German Lozada-Cruz
author_facet German Lozada-Cruz
author_sort German Lozada-Cruz
collection DOAJ
description This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.
format Article
id doaj-art-15a77fd2272e4dd9a80d56a594d4166e
institution DOAJ
issn 2411-1783
language Spanish
publishDate 2025-07-01
publisher Universidad Nacional de Trujillo
record_format Article
series Selecciones Matemáticas
spelling doaj-art-15a77fd2272e4dd9a80d56a594d4166e2025-08-20T03:16:03ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832025-07-011201626610.17268/sel.mat.2025.01.05Some Variants of Wayment's Mean Value Theorem for IntegralsGerman Lozada-Cruz0https://orcid.org/0000-0003-2860-954XDepartamento de Matemática, Instituto de Biociencias, Letras e Ciencias Exatas (IBILCE) – Universidade Estadual Paulista (UNESP), 15054-000 Sao José do Rio Preto, Sao Paulo, Brazil.This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6619flett's theoremmyers' theoremwayment's theorem
spellingShingle German Lozada-Cruz
Some Variants of Wayment's Mean Value Theorem for Integrals
Selecciones Matemáticas
flett's theorem
myers' theorem
wayment's theorem
title Some Variants of Wayment's Mean Value Theorem for Integrals
title_full Some Variants of Wayment's Mean Value Theorem for Integrals
title_fullStr Some Variants of Wayment's Mean Value Theorem for Integrals
title_full_unstemmed Some Variants of Wayment's Mean Value Theorem for Integrals
title_short Some Variants of Wayment's Mean Value Theorem for Integrals
title_sort some variants of wayment s mean value theorem for integrals
topic flett's theorem
myers' theorem
wayment's theorem
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6619
work_keys_str_mv AT germanlozadacruz somevariantsofwaymentsmeanvaluetheoremforintegrals