Some Results on q-Multiple Harmonic Sums

In this paper the author present some new identities for q-analogues of multiple harmonic (star) sums whose indices are the sequences ({p}(a)) and ({p}(a),p + 1, {p}(b)). Then we use these formulas to establish some relations between multiple harmonic (star) sums and classical harmonic numbers and binomial coefficients. As an application we give some explicit formulas involving multiple zeta star values. Some interesting consequences and illustrative examples are also given.