On the poisedness of Bojanov-Xu interpolation

Next a conjecture [Hakopian and Ismail, J. Approx. Theory 116 (2002) 76-99] concerning a poisedness relation between the Bojanov-Xu interpolation, with set of rays symmetric about x-axis, and certain univariate lacunary interpolations is established. At the end the poisedness for a wide class of lacunary interpolations is obtained.