Some integral inequalities for interval-valued functions

H. Román-Flores; Y. Chalco-Cano; W. A. Lodwick

doi:10.1007/s40314-016-0396-7

Some integral inequalities for interval-valued functions

H. Román-Flores
, Y. Chalco-Cano
, W. A. Lodwick

Departamento de Matemática

Universidad de Tarapacá
University of Colorado Denver

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

118 Citas (Scopus)

Resumen

In this paper, we explore some integral inequalities for interval-valued functions. More precisely, using the Kulisch–Miranker order on the space of real and compact intervals, we establish Minkowski’s inequality and then we derive Beckenbach’s inequality via an interval Radon’s inequality. Also, some examples and applications are presented for illustrating our results.

Idioma original	Inglés
Páginas (desde-hasta)	1306-1318
Número de páginas	13
Publicación	Computational and Applied Mathematics
Volumen	37
N.º	2
DOI	https://doi.org/10.1007/s40314-016-0396-7
Estado	Publicada - 1 may 2018

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abstract = "In this paper, we explore some integral inequalities for interval-valued functions. More precisely, using the Kulisch{\textendash}Miranker order on the space of real and compact intervals, we establish Minkowski{\textquoteright}s inequality and then we derive Beckenbach{\textquoteright}s inequality via an interval Radon{\textquoteright}s inequality. Also, some examples and applications are presented for illustrating our results.",

keywords = "Beckenbach{\textquoteright} inequality, Interval-valued functions, Minkowski{\textquoteright}s inequality, Radon{\textquoteright}s inequality",

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AU - Román-Flores, H.

AU - Chalco-Cano, Y.

AU - Lodwick, W. A.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - In this paper, we explore some integral inequalities for interval-valued functions. More precisely, using the Kulisch–Miranker order on the space of real and compact intervals, we establish Minkowski’s inequality and then we derive Beckenbach’s inequality via an interval Radon’s inequality. Also, some examples and applications are presented for illustrating our results.

AB - In this paper, we explore some integral inequalities for interval-valued functions. More precisely, using the Kulisch–Miranker order on the space of real and compact intervals, we establish Minkowski’s inequality and then we derive Beckenbach’s inequality via an interval Radon’s inequality. Also, some examples and applications are presented for illustrating our results.

KW - Beckenbach’ inequality

KW - Interval-valued functions

KW - Minkowski’s inequality

KW - Radon’s inequality

UR - https://www.scopus.com/pages/publications/85027879412

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DO - 10.1007/s40314-016-0396-7

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ER -

Some integral inequalities for interval-valued functions

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