engleski

Hilbert inequality and Gaussian hypergeometric functions

By using the integral representation of Gaussian hypergeometric function, we obtain Hilbert type inequalities with some fractional kernels and nonconjugate parameters. Such inequalities include constant factors expressed in terms of hypergeometric functions. Further, we obtain the best possible constants for some general cases, in conjugate case.

Hilbert inequality; Hardy-Hilbert inequality; Gaussian hypergeometric functions; equivalent inequalities; the best possible constants

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