Weighted Caputo Fractional Iyengar Type Inequalities
Here we present weighted fractional Iyengar type inequalities with respect to Lp norms, with (Formula Presented). Our employed fractional calculus is of Caputo type defined with respect to another function. Our results provide quantitative estimates for the approximation of the Lebesgue-Stieljes integral of a function, based on its values over a finite set of points including at the endpoints of its interval of definition. Our method relies on the right and left generalized fractional Taylor’s formulae. The iterated generalized fractional derivatives case is also studied. We give applications at the end. See also.
Studies in Systems, Decision and Control
Anastassiou, G. (2021). Weighted Caputo Fractional Iyengar Type Inequalities. Studies in Systems, Decision and Control, 305, 33-68. https://doi.org/10.1007/978-3-030-56962-4_3