论文标题

对模糊积分的二维耐力类型不平等的概括

Generalization of two-dimensional Hardy type inequality for fuzzy integrals

论文作者

Daraby, Bayaz, Tahmourasi, Mortaza, Rahimi, Asghar

论文摘要

在本文中,根据涉及设定值功能的伪分析,给出了一种新的二维耐力类型不平等。第一个是针对设置值函数的伪积分构成的,其中伪添加和伪型构成由单调连续函数$ g构造:[0,\ infty] \ to [0,\ infty] $。另一个由semiring $([0,1],\ max,\ odot)$给出,其中伪型通过增加的连续函数生成。

In this paper, a new two-dimensional Hardy type inequality is given in terms of pseudo-analysis dealing with set-valued functions. The first one is given for a pseudo-integral of set-valued function where pseudo-addition and pseudo-multiplication are constructed by a monotone continuous function $g:[0, \infty ]\to[0, \infty]$. Another is given by the semiring $([0, 1], \max, \odot)$ where pseudo-multiplication is generated by an increasing continuous function.

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