Certain weighted sum formulas for multiple zeta values with some parameters

Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are well known. In this paper, we get a new relation among them which is a generalization of a formula obtained by Eie, Liaw and Ong, and has four parameters. Moreover, by using similar method, we also obtain a relation which has six parameters.