engleski

A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications

In this paper, we establish a new re ned version of the general Hardy-type inequality utilizing the notion of superquadratic functions. The general result obtained is then applied to some particular one-dimensional and multidimensional settings providing generalizations and re nements of some well-known Hardy-type inequalities. Finally, as another consequence of the main result, we also state and prove a class of improved versions of some Hardy-Hilbert-type inequalities.

Hardy inequality; Hardy-Hilbert inequality; Hardy-type inequalities; Hardy-Hilbert-type inequalities; non-conjugate exponents; superquadratic function

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