Wirtinger-type integral inequalities for interval-valued functions

T. M. Costa; Y. Chalco-Cano; H. Román-Flores

doi:10.1016/j.fss.2019.08.003

Wirtinger-type integral inequalities for interval-valued functions

T. M. Costa
, Y. Chalco-Cano
, H. Román-Flores

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-valued functions. Numerical examples that illustrate the applicability of the theory developed herein are also provided.

Idioma original	Inglés
Páginas (desde-hasta)	102-114
Número de páginas	13
Publicación	Fuzzy Sets and Systems
Volumen	396
DOI	https://doi.org/10.1016/j.fss.2019.08.003
Estado	Publicada - 1 oct. 2020

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title = "Wirtinger-type integral inequalities for interval-valued functions",

abstract = "This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-valued functions. Numerical examples that illustrate the applicability of the theory developed herein are also provided.",

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AU - Costa, T. M.

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

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Y1 - 2020/10/1

N2 - This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-valued functions. Numerical examples that illustrate the applicability of the theory developed herein are also provided.

AB - This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-valued functions. Numerical examples that illustrate the applicability of the theory developed herein are also provided.

KW - Generalized Hukuhara differentiability of interval-valued functions

KW - Interval-valued functions

KW - Wirtinger's inequality

UR - https://www.scopus.com/pages/publications/85070791450

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DO - 10.1016/j.fss.2019.08.003

M3 - Article

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JO - Fuzzy Sets and Systems

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Wirtinger-type integral inequalities for interval-valued functions

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