ON SOME INEQUALITIES OF THE GRUSS-BARNES AND BORELLI TYPE

[摘要] Some new generalizations of the Gruss-Barnes and Borell inequlaities are proved. A new proof, using the classical Chebyshev inequality, for the case of two functions is presented and applied. A crucial inequality for n functions by Borell [J. Math. Anal. Appl. 41 (1973), 300-312] is also discussed. Some recent results are sharpened and complemented. Interpolated or weighted versions of some of the inequalities are pointed out. (C) 1994 Academic Press, Inc.

[发布日期] 1994-10-01