Strong converse inequality for left Bernstein quasi-interpolants

For the Bernstein left quasi-interpolants Bn(2r−1)f, we prove that for some kkωφ2r(f,1n)≤C(‖Bn(2r−1)f−f‖+‖Bkn(2r−1)f−f‖). This is a strong converse inequality of type B.