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

Universidade Federal do Pará
Universidad de Tarapacá

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

Acceder al documento

10.1016/j.fss.2019.08.003

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{0aa2edc74db747119b96b046adb40eec,

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.",

keywords = "Generalized Hukuhara differentiability of interval-valued functions, Interval-valued functions, Wirtinger's inequality",

author = "Costa, \{T. M.\} and Y. Chalco-Cano and H. Rom{\'a}n-Flores",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2020",

month = oct,

day = "1",

doi = "10.1016/j.fss.2019.08.003",

language = "English",

volume = "396",

pages = "102--114",

journal = "Fuzzy Sets and Systems",

issn = "0165-0114",

}

TY - JOUR

T1 - Wirtinger-type integral inequalities for interval-valued functions

AU - Costa, T. M.

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

PY - 2020/10/1

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

U2 - 10.1016/j.fss.2019.08.003

DO - 10.1016/j.fss.2019.08.003

M3 - Article

AN - SCOPUS:85070791450

SN - 0165-0114

VL - 396

SP - 102

EP - 114

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Wirtinger-type integral inequalities for interval-valued functions

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto