engleski

A unified approach to fractal Hilbert-type inequalities

In the present study we provide a unified treatment of fractal Hilbert-type inequalities. Our main result is a pair of equivalent fractal Hilbert-type inequalities including a general kernel and weight functions. A particular emphasis is devoted to a class of homogeneous kernels. In addition, we impose appropriate conditions for which the constants appearing on the right-hand sides of the established inequalities are the best possible. As an application, our results are compared with some previously known from the literature.

Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant

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