We give a concise approach to generalising the inequalities of Wirtinger, Hardy, Weyl and Opial by using the well-known inequality: if X and Y are non-negative, then X(p)+(p-1)Y-p-pXY(p-1)greater than or equal to 0 (less than or equal to 0) for p > 1 (0 < p < 1), respectively.
關聯:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
