Liapounoff type inequality for pseudo-integral of interval-valued function

Autor: Tatjana Grbić, Slavica Medić, Nataša Duraković, Sandra Buhmiler, Slaviša Dumnić, Janja Jerebic
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 4, Pp 5444-5462 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022302?viewType=HTML
Popis: 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.
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