A new half-discrete Mulholland-type inequality with multi-parameters

A New Half-discrete Mulholland-type Inequality with Parameters

A New Multiple Half–discrete Hilbert–type Inequality

By using the way of weight functions and technique of real analysis, a new multiple half-discrete Hilbert-type inequality with the best constant factor is given. As applications, the equivalent forms, operator expressions as well as some reverse inequalities are also considered. Mathematics subject classification (2010): 26D15, 47A07.

A multidimensional discrete Hilbert-type inequality

In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.

On a more accurate Hardy-Mulholland-type inequality

By using the way of weight coefficients, the technique of real analysis, and Hermite-Hadamard's inequality, a more accurate Hardy-Mulholland-type inequality with multi-parameters and a best possible constant factor is given. The equivalent forms, the reverses, the operator expressions and some particular cases are considered.

Amore accurate Mulholland-type inequality in the whole plane

*Correspondence: [email protected] 1Guangxi Colleges and Universities Key Laboratory of Intelligent Processing of Computer Image and Graphics, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China Full list of author information is available at the end of the article Abstract By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s in...