engleski

On inequalities of Levin-Cochran-Lee type for multidimensional balls

In this paper a new approach to inequalities of Carleman’ s type for multidimensional balls centered at the origin is given by obtaining a class of more general relations involving weighted geometric means with radial weight functions. The companion results are also derived. Moreover, sharpness of all obtained inequalities is discussed.

Carleman's inequality; Levin-Cochran-Lee inequality; best possible constant; balls

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