In the present study, we will introduce the definition of interval h1,h2 nonconvex function. We will investigate some properties of interval h1,h2 nonconvex function. Moreover, we will develop Hermite-Hadamard- and Jensen-type inequalities for interval h1,h2 nonconvex function.

Based on the concept of the stochastic cooperative game, the concepts such as the kernel and the nucleolus of the countermeasure are extended in this article, and many concepts such as the maximum excess value, the kernel and the nucleolus of the stochastic cooperative countermeasure are defined, and some characters and properties, and the relationships among the kernel, the nucleolus and the minimum core of the stochastic cooperative game are discussed.Keywords: Minimum core, Nucleolus, Kernel Basic concepts and marksThe stochastic cooperative game introduced by Suijs et al (1995) is denoted by are two stochastic payments, and if a alliance S exists, for all i S ∈ ,

In this paper, we consider fuzzy bimatrix games with fuzzy payoffs. Based on fuzzy max order, for such games, we define three kinds of concepts of minim ax equilibrium strategies. Some basic results obtained.

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Let N N be a sufficiently large integer. In this article, it is proved that, with at most O ( N 1 12 + ε ) O\left({N}^{\tfrac{1}{12}+\varepsilon }) exceptions, all even positive integers up to N N can be represented in the form p 1 2 + p 2 2 + p 3 3 + p 4 3 + p 5 3 + p 6 3 {p}_{1}^{2}+{p}_{2}^{2}+{p}_{3}^{3}+{p}_{4}^{3}+{p}_{5}^{3}+{p}_{6}^{3} , where p 1 , p 2 , p 3 , p 4 , p 5 {p}_{1},{p}_{2},{p}_{3},{p}_{4},{p}_{5} , and p 6 {p}_{6} are prime variables. This result constitutes a large improvement upon the previous result of Liu [On a Waring-Goldbach problem involving squares and cubes, Math. Slovaca. 69 (2019), no. 6, 1249–1262].