On Some New MaclaurinÕs Type Inequalities for Convex Functions in q-Calculus
Date
2023
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Article
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
Journal Title
On Some New MaclaurinÕs Type Inequalities for Convex Functions in q-Calculus
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Abstract
This work establishes some new inequalities to find error bounds for MaclaurinÕs formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for MaclaurinÕs formula in both q and classical calculus. © 2023 by the authors.
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Fractal and Fractional