We calculate the sharp bounds for some q-analysis variants of Hausdorff type inequalities of the form As applications, we obtain several sharp q-analysis inequalities of the classical positive integral operators, incl...We calculate the sharp bounds for some q-analysis variants of Hausdorff type inequalities of the form As applications, we obtain several sharp q-analysis inequalities of the classical positive integral operators, including the Hardy operator and its adjoint operator, the Hilbert operator, and the Hardy-Littlewood-P61ya operator.展开更多
文摘We calculate the sharp bounds for some q-analysis variants of Hausdorff type inequalities of the form As applications, we obtain several sharp q-analysis inequalities of the classical positive integral operators, including the Hardy operator and its adjoint operator, the Hilbert operator, and the Hardy-Littlewood-P61ya operator.