Applicable Analysis and Discrete Mathematics, Vol. 3, No. 1 (April 2009), pp. 88-96 (9 pages) A new version of discrete Hilbert type inequality is given where the kernel function is non-homogeneous.

A classical theorem by Block and Levin (Block, H. D., S. A. Levin. 1970. On the boundedness of an iterative procedure for solving a system of linear inequalities. Proc. Amer. Math. Soc. 26 229-235) ...

The inequality will be solved when \({m}\) is isolated on one side of the inequality. This can be done by using inverse operations on each stage of the sum. The final answer is ...

Plotting graphs of inequalities works almost exactly the same way as plotting graphs. Simple inequality graphs can be plotted parallel to the \(x\) or \(y\) axes and tables of values can help to plot ...