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

Department of Mathematics

Universidad de Tarapacá
University of Colorado Denver

Research output: Contribution to journal › Article › peer-review

119 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1306-1318
Number of pages	13
Journal	Computational and Applied Mathematics
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/s40314-016-0396-7
State	Published - 1 May 2018

Keywords

Beckenbach’ inequality
Interval-valued functions
Minkowski’s inequality
Radon’s inequality

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Cite this

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title = "Some integral inequalities for interval-valued functions",

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

M3 - Article

AN - SCOPUS:85027879412

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VL - 37

SP - 1306

EP - 1318

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 2

ER -

Some integral inequalities for interval-valued functions

Abstract

Keywords

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