  Moment inequalities play important roles in probability limit theory and
mathematical statistics. In this work, the von Bahr-Esseen type inequality for
extended negatively dependent random variables under sub-linear expectations is
established successfully. By virtue of the inequality, we further obtain the
Kolmogorov type weak law of large numbers for partial sums and the complete
convergence for weighted sums, which extend and improve corresponding results
in sub-linear expectation space.
