A new integral version of generalized Ostrowski-Grüss type inequality with applications

Abstract

Our aim is to improve and further generalize the result of integral Ostrowski-Grüss type inequalities involving differentiable functions and then apply these obtained inequalities to probability theory, special means and numerical integration.

Keywords

• Ostrowski-Grüss inequality
• Čebyšev functional
• Korkine’s identity
• Cauchy-Schwartz inequality
• numerical integration
• Special means