The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications

We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions. We provide their applications in Probability Theory, Numerical Analysis and for Special Means

Generalizations of Weighted Trapezoidal Inequality for Monotonic Mappings and Its Applications

In this paper, we establish some generalizations of weighted trapezoid inequality for monotonic mappings, and give several applications for r − moment, the expectation of a continuous random variable and the Beta mapping

On Trapezoid Inequality Via a Grüss Type Result and Applications

In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc... ) and in Numerical Analysis in connection with the classical trapezoid formula

A Generalised Trapezoid Type Inequality for Convex Functions

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned