Generalized Ostrowski type inequalities for interval valued functions and its application for error estimation to some quadrature rules

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.