Research Journal of Science and Technology
Year : 2013, Volume : 5, Issue : 1
First page : ( 136) Last page : ( 139)
Print ISSN : 0975-4393.

On Refinement of Gruss Inequalities

Dr. Kapoor Girish*

Department of Mathematics, Govt. College Haripur (Guler), Distt. Kangra, Himachal Pradesh, India

*Corresponding Author: grshkapoor@gmail.com

2000 Mathematics Subject Classification. Primary 26D15, Secondary 94A05

Online published on 5 February, 2014.

Abstract

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.

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