Erratum: A companion of Ostrowski type integral inequality using a 5-step Kernel with some applications

Companion inequalities to Ostrowski–Grüss type inequality and applications

where f : [a, b] → R is a differentiable function such that |f ′ (x) | ≤ M for all x ∈ [a, b] . More about Ostrowski type inequalities and companion inequalities to the Ostrowski type inequality can be found in papers [4, 5] and in monographs [1, 6]. If f is a differentiable function, f ′ is integrable, and γ ≤ f ′ (s) ≤ Γ, for all s ∈ [a, b] , then the following Ostrowski–Grüss inequality can ...

Some Companions of an Ostrowski Type Inequality and Applications

We establish some companions of an Ostrowski type integral inequality for functions whose derivatives are absolutely continuous. Applications for composite quadrature rules are also given.

Some generalized Ostrowski-Grüss type integral inequalities

A new generalized Ostrowski Grüss type inequality and applications

Integration with weight functions is used in countless mathematical problems such as: approximation theory and spectral analysis, statistical analysis and the theory of distributions. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Barnett et al. in 2001 and Rafiq et al. in 2006. We also discuss some other interesting inequaliti...

A Weighted Ostrowski- Grüss Type Inequality and Applications

In this paper, we establish a weighted Ostrowski Grüss type inequality for twice differentiable mappings in terms of lower and upper bounds of the second derivative. Applications in numerical integration are also given.