A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means

Pure and Applied Mathematics

“…As de…ned in [34], consider the kernel p : [a; b] 2 ! R given by p(x; t) = ] and the following identity holds:…”

“…In [28,34,81], the quadrature problem, in particular, the investigation of error In this section, we present an approach similar to that of Ujevic's [99] to present some improvements and generalizations in this context.…”

An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

“…You can check ( [1], [2], [4], [5], [6], [7], [8], [9], [10], [12], [14], [15], [16], [17], [18], [19], [20], [21]) and the references included there.…”

On New Ostrowski Type Inequalities

“…The analysis used in the proofs is based on the integral identity proved in [3] and provide new estimates on these types of inequalities. Our result in special case yield the inequalities given in Theorem 2 and Theorem 3.…”