This work is devoted to study some Ostrowski type inequalities for generalized Hukukara differentiable interval valued functions. Mean valued theorem for gH-differentiable interval valued functions is also derived. Established results generalize some pioneer results in the existing state-of-art. Moreover, error estimations to quadrature rule of Riemann type, Simpson type and Trapezoidal type are obtained for interval valued functions by the application of one of the derived inequality. In addition an illustrative example is also furnished which demonstrates the viability of the hypothesis of one of our results.
|Number of pages||21|
|Journal||Nonlinear Functional Analysis and Applications|
|State||Published - 1 Sep 2019|
Bibliographical notePublisher Copyright:
© 2019 Kyungnam University Press.
- Integrability of interval valued functions
- Interval valued functions
- Ostrowski type inequality
ASJC Scopus subject areas
- Numerical Analysis
- Control and Optimization
- Applied Mathematics