A note on the pseudo Stolarsky type inequality for the g¯-integral

Lee-Chae Jang

Applied Mathematics and Computation, 2015, vol. 269, issue C, 809-815

Abstract: Daraby (2012) proved the pseudo Stolarsky type inequality for pseudo-integrals and Mesiar and Pap (1999) defined the pseudo-integrals with respect to a sup-or int- decomposable measure. In this paper, we defined the interval-valued pseudo-integral(for short, g¯-integral) in the case of a generated semiring with an interval-valued generator g¯ by using interval-representable pseudo-operations and prove the pseudo Stolarsky type inequality for the g¯-integrals.

Keywords: σ-⊕-decomposable measure; Pseudo-integral; Interval-representable pseudo-operations; Stolarsky type inequality (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:809-815

DOI: 10.1016/j.amc.2015.07.087

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