%0 Journal Article
%T A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Rassias, Michael Th.
%A Yang, Bicheng
%D 2016
%\ 06/01/2016
%V 7
%N 2
%P 1-27
%! A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
%K Hardy-Hilbert-type inequality
%K extended Riemann-zeta function
%K Hurwitz zeta function
%K Gamma function
%K weight function
%K equivalent form
%K operator
%R 10.22075/ijnaa.2016.375
%X By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the reverses and some particular cases are also considered.
%U https://ijnaa.semnan.ac.ir/article_375_c8b2e9a805289b56d307b04d2e8cc8c1.pdf