On some inequalities relative to the Pompeiu–Chebyshev functional

[摘要] In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals intervene. We investigate some new inequalities of Grüss type using Pompeiu’s mean value theorem. Improvement of known inequalities is also given.

[学科分类] 电力

[关键词] Chebyshev functional;Pompeiu’s mean value theorem;CBS inequality;Grüss inequality