Some Open-Newton-Cotes Type Integral inequalities for Caputo Fractional Integral Operator
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Abstract
In this paper, we present a set of open-Newton-type inequalities with n=1 for differentiable convex functions using the Caputo fractional operator. For this, first we prove an integral identity using Caputo Fractional integral and derivative operator. Further, by utilising this identity we establish some error bounds for Open-Newton-Cotes formula for differentiable convex functions and bounded functions in the fractional calculus. Finally, we added some examples and show the validity of inequalities with a graph for different values of fractional parameter .
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