New Generalization of Perturbed Ostrowski Type Inequalities and Applications
Wen-jun Liu, Qiao-ling Xue, Jian-wei Dong
TL;DR
This paper extends Ostrowski type inequalities for Lipschitz functions, providing new generalizations and demonstrating their applications in numerical integration and distribution functions.
Contribution
It introduces new generalized Ostrowski inequalities for Lipschitz functions and applies them to numerical and probabilistic contexts.
Findings
New generalized Ostrowski inequalities for Lipschitz functions
Applications in numerical integration methods
Applications in cumulative distribution functions
Abstract
Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given.
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Taxonomy
TopicsMathematical Inequalities and Applications · Differential Equations and Boundary Problems