# 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–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.

- Authors:

- Universidad de Tarapacá, Instituto de Alta Investigación (Chile)
- University of Colorado, Department of Mathematical and Statistical Sciences (United States)

- Publication Date:

- OSTI Identifier:
- 22769350

- Resource Type:
- Journal Article

- Journal Name:
- Computational and Applied Mathematics

- Additional Journal Information:
- Journal Volume: 37; Journal Issue: 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; INTEGRALS; MINKOWSKI SPACE; RADON

### Citation Formats

```
Román-Flores, H., E-mail: hroman@uta.cl, Chalco-Cano, Y., E-mail: ychalco@uta.cl, and Lodwick, W. A., E-mail: Weldon.Lodwick@ucdenver.edu.
```*Some integral inequalities for interval-valued functions*. United States: N. p., 2018.
Web. doi:10.1007/S40314-016-0396-7.

```
Román-Flores, H., E-mail: hroman@uta.cl, Chalco-Cano, Y., E-mail: ychalco@uta.cl, & Lodwick, W. A., E-mail: Weldon.Lodwick@ucdenver.edu.
```*Some integral inequalities for interval-valued functions*. United States. doi:10.1007/S40314-016-0396-7.

```
Román-Flores, H., E-mail: hroman@uta.cl, Chalco-Cano, Y., E-mail: ychalco@uta.cl, and Lodwick, W. A., E-mail: Weldon.Lodwick@ucdenver.edu. Tue .
"Some integral inequalities for interval-valued functions". United States. doi:10.1007/S40314-016-0396-7.
```

```
@article{osti_22769350,
```

title = {Some integral inequalities for interval-valued functions},

author = {Román-Flores, H., E-mail: hroman@uta.cl and Chalco-Cano, Y., E-mail: ychalco@uta.cl and Lodwick, W. A., E-mail: Weldon.Lodwick@ucdenver.edu},

abstractNote = {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.},

doi = {10.1007/S40314-016-0396-7},

journal = {Computational and Applied Mathematics},

issn = {0101-8205},

number = 2,

volume = 37,

place = {United States},

year = {2018},

month = {5}

}

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