Abstract
In this paper, improved and generalized version of Ostrowski’s type inequalities is established. The parameters used in the peano kernels help us to obtain previous results. The obtained bounds are then applied to numerical integration.
Highlights
We introduced some new generalized different types of Kernels, development of new identities and new error bounds of Ostrowski’s type inequalities for first and second derivable mappings
We proved the results by using quadratic mapping, generalized linear mapping and generalized quadratic mapping
We developed application for numerical integration
Summary
S ince Ostrowski first time proved his inequality in 1938, after that many researchers did a lot of work on it. Some monographs presented by Barnet et al, [1] and Dragomir et al [2] on Ostrowski’s type inequalities. Many researchers [3–7] did efforts to obtain tighter error bounds of Ostrowski type inequalities. Inspired and motivated by the work of above famous Mathematician [8,9] and [2,10,11], we started our work to extend and produce new and generalized Ostrowski’s integral inequalities. We introduced some new generalized different types of Kernels, development of new identities and new error bounds of Ostrowski’s type inequalities for first and second derivable mappings. By utilizing our obtained results, previous famous results are recaptured as special cases
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
