Grüss-Type Inequalities

Abstract

A connection between Grüss inequality and the error of best approximation is revealed. A Grüss-type inequality that unifies the continuous and discrete versions of the classical Grüss inequalities is established.  2002 Elsevier Science (USA)

A New Generalized Inequality for Covariance in N Dimensions

“…Until nowadays, the works of Chebyshev, Ostrowski, and Grüss have continued to inspire active mathematical research focused on inequalities/estimates of (co)variance. This fact is clearly documented by rich literature dealing with the subject [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. For the purposes of the present article we specifically highlight an inequality for covariance which was derived recently by He and Wang in [20].…”

On generalized Grüss type inequalities for k-fractional integrals

“…Grüss developed an integral inequality [11] in 1935. During the last few years, many researchers focused their attention on the study and generalizations of the Grüss inequality [7,9,15,17,19]. The integral inequality that establishes a connection between the integral of the product of two functions and the product of the integrals is known in the literature as the Grüss inequality.…”

On the generalization of Ostrowski and Grüss type discrete inequalities

“…For several recent results concerning these kinds of inequalities, see [3][4][5][6][7][8][9]2,1,[10][11][12][13][14][15].…”