| We solve the BNP (N[a,b]) problem and establish one-to-one correspondence between the solutions to the BNP (N[a,b]) problem and the solutions to the Hausdorff mon-ment problem with a constrain by using the so-called Hankcl vector approach. This enables one to obtain the solvability criteria and the parametrized description of the BNP (N[a,b]) problem by those of the Hausdorff moment problem when there exist infinite solutions,and the situation is opposite when there exists exactly one solution. |
