TY - JOUR
T1 - Some integral inequalities for interval-valued functions
AU - Román-Flores, H.
AU - Chalco-Cano, Y.
AU - Lodwick, W. A.
N1 - Publisher Copyright:
© 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
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
U2 - 10.1007/s40314-016-0396-7
DO - 10.1007/s40314-016-0396-7
M3 - Article
AN - SCOPUS:85027879412
SN - 2238-3603
VL - 37
SP - 1306
EP - 1318
JO - Computational and Applied Mathematics
JF - Computational and Applied Mathematics
IS - 2
ER -