New Ostrowski and Grüss Type Inequalities for Double Integrals

Abstract

Abstract. In the present paper we establish new Ostrowski and Grass type inequalities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Griiss type inequalities for double sums are also given. IntroductionIn Another celebrated inequality proved by G.Griiss [3] in 1935 (see also [4, 296]) states that:provided that / and g are two integrable functions on [a, 6] satisfying the conditionfor all x G [a, 6] , where 4>, 3>, 7, F are given real constants.1991 Mathematics Subject Classification: 26D10, 26D15.

Inequalities for convex and s-convex functions on Δ = [a, b] × [c, d]

“…(1 In [19], Pachpatte established a new Ostrowski type inequality similar to inequality (1.5) by using elementary analysis.…”

An inequality of Ostrowski-Grüss type for double integrals

“…In [10], Pachpatte obtained an inequality in the view (1.10) by using elementary analysis. The interested reader is also refered to ( [1], [6], [10], [11], [13]- [15]) for Ostrowski type inequalities in several independent variables.…”