On pseudo-average value on graphical simplices and pseudo-inequalities.

Recently, Zhang and Pap (2022) [22] introduced an interesting concept of (⊕,⊗)-pseudo-convex functions. In this paper, we first discuss this concept and suggest an alternative definition. Also, by using a pseudo-average value of a function over a simplex, some pseudo-inequalities over simplices are given. Our results generalize the previous studies on pseudo-inequalities.