关于区间值函数的Opial型不等式的进一步推广

Further generalization of the Opial type inequalities for interval-valued functions

基于Holder不等式、区间数的gH-导数以及区间分析基本理论,得到了一些新的关于区间值函数的Opial型不等式,推广并改进了ZHAO等人2022年区间Opial型不等式在λ_(1)≥1,λ_(2)≥1条件下的结果,并举例验证了所得结论。

Using Holder’s inequality,the gH-derivative of interval number and the basic theory of interval analysis,this paper finds some new Opial type inequalityies for interval-valued functions,and obtain some generalizations and refinements of interval Opial type inequalities derived by Zhao et al.(2022).Additionally,It quotes some examples to elaborate the findings.