4 papers
A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function
Michael Th. Rassias, Bicheng Yan
Using methods of weight functions, techniques of real analysis as well as the Hermite-Hadamard inequality, a half-discrete Hardy-Hilbert-type inequality with multi-parameters and a…
A Hilbert-Type Integral Inequality in the Whole Plane Related to the Hypergeometric Function and the Beta Function
Michael Th. Rassias, Bicheng Yang
A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel and parameters is given. The constant factor related to the hypergeometric function and th…
Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions
Bicheng Yang, Michael Th. Rassias
Applying methods of Real Analysis and Functional Analysis, we build two weight functions with parameters and provide two kinds of parameterized Yang-Hilbert-type integral inequalit…
A More Accurate Half-Discrete Hardy-Hilbert-Type Inequality with the Best Possible Constant Factor Related to the Extended Riemann-Zeta Function
Michael Th. Rassias, Bicheng Yang
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 hype…