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Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2019-10-31 , DOI: 10.3934/dcdss.2020111 George A. Anastassiou ,
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2019-10-31 , DOI: 10.3934/dcdss.2020111 George A. Anastassiou ,
Here we present fractional univariate Ostrowski-Sugeno Fuzzy type inequalities. These are of Ostrowski-like inequalities in the setting of Sugeno fuzzy integral and its special-particular properties. In a fractional environment, they give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. The fractional derivatives we use are of Canavati and Caputo types. This work is greatly inspired by [8 ], [1 ] and [2 ].
中文翻译:
分数阶Ostrowski-Sugeno模糊单变量不等式
在这里,我们提出分数阶单变量Ostrowski-Sugeno Fuzzy型不等式。在Sugeno模糊积分及其特殊性质中,这些是Ostrowski型不等式。在分数环境中,它们为函数与Sugeno模糊平均的偏差提供了严格的上限。我们使用的分数导数是Canavati和Caputo类型的。这项工作受到[8 ],[1个 ]和[2 ]。
更新日期:2019-10-31
中文翻译:
分数阶Ostrowski-Sugeno模糊单变量不等式
在这里,我们提出分数阶单变量Ostrowski-Sugeno Fuzzy型不等式。在Sugeno模糊积分及其特殊性质中,这些是Ostrowski型不等式。在分数环境中,它们为函数与Sugeno模糊平均的偏差提供了严格的上限。我们使用的分数导数是Canavati和Caputo类型的。这项工作受到[