On Refinement of Gruss Inequalities

Gruss inequality (Discrete), a complement of Chebysev inequality, is one which gives an upper bound of the absolute difference

For n-tuples a =(a₁,a₂ … a_n) and b =(b₁,b₂ … b_n) of real numbers with certain conditions.

In this paper, we establish some discrete inequalities of Gruss type for nonnegative n-tuples a =(a₁,a₂ … a_n) and b =(b₁,b₂ … b_n of real numbers in terms of their means and extreme values.