On some error bounds of MaclaurinÕs formula for convex functions in q-calculus
Date
2023
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Article
Publisher
University of Nis
Journal Title
On some error bounds of MaclaurinÕs formula for convex functions in q-calculus
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Abstract
The main goal of this paper is to establish some error bounds for MaclaurinÕs formula which is three point quadrature formula using the notions of q-calculus. For this, we first prove a q-integral identity involving fist time q-differentiable functions. Then, by using the new established identity we find the error bounds for maclaurinÕs formula by using the convexity of fist time q-differentiable functions. It is also shown that the newly established inequalities are extension of some existing inequalities inside the literature. © 2023, University of Nis. All rights reserved.
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