@article{Grbić2022, 
author = {Tatjana Grbić and Slavica Medić and Nataša Duraković and Sandra Buhmiler and Slaviša Dumnić and Janja Jerebic},
title = {Liapounoff type inequality for pseudo-integral of interval-valued function},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5444-5462},
keywords = {semiring, interval-valued function, pseudo-integral of an interval-valued function, Liapounoff type inequality, interval-valued central g-moment of order n},
url = {https://www.sciopen.com/article/10.3934/math.2022302},
doi = {10.3934/math.2022302},
abstract = {In this paper, two new Liapounoff type inequalities in terms of pseudo-analysis dealing with set-valued functions are given. The first one is given for a pseudo-integral of set-valued function where pseudo-operations are given by a generator    g  :  [  0  ,  ∞  ]  →  [  0  ,  ∞  ] and the second one is given for the semiring    (  [  0  ,  ∞  ]  ,  sup  ,  ⊙  ) with generated pseudo-multiplication. The interval Liapounoff inequality is applied for estimation of interval-valued central    g-moment of order    n for interval-valued functions in a    g-semiring.}
}