Published May 2018 | Version v1
Journal article Metadata-only

Some integral inequalities for interval-valued functions

Creators

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

Description

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.

Additional details

Identifiers

DOI
10.1007/s40314-016-0396-7;

Publishing Information

Journal Title
Computational and Applied Mathematics
Journal Volume
37
Journal Issue
2
Journal Page Range
p. 1306-1318
ISSN
0101-8205

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50012565
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
FUNCTIONS; INTEGRALS; MINKOWSKI SPACE; RADON
Descriptors DEC
ELEMENTS; FLUIDS; GASES; MATHEMATICAL SPACE; NONMETALS; RARE GASES; SPACE

Optional Information

Copyright
Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matem#Latin Small Letter A With Acute#tica Aplicada e Computacional