Tripartite Bell-type inequalities for quantum coherence and skew information

We construct the tripartite Bell-type inequalities of product states for [Formula: see text]-norm of coherence, relative entropy of coherence and skew information. We give examples of three-qubit entangled states that violate these inequalities. Particularly, the tripartite Bell-type inequality for relative entropy of coherence is always violated by the W class pure or mixed states as well as the GHZ class pure or mixed states, being used as entanglement witness.