FRACTIONAL HERMITE-HADAMARD INEQUALITY AND ERROR ESTIMATES FOR SIMPSONÕS FORMULA THROUGH CONVEXITY WITH RESPECT TO A PAIR OF FUNCTIONS
Date
2023
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Article
Publisher
University of Miskolc
Journal Title
FRACTIONAL HERMITE-HADAMARD INEQUALITY AND ERROR ESTIMATES FOR SIMPSONÕS FORMULA THROUGH CONVEXITY WITH RESPECT TO A PAIR OF FUNCTIONS
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Abstract
In this article, we establish two new and different versions of fractional Hermite-Hadamard type inequality for the convex functions with respect to a pair of functions. Moreover, we establish a new SimpsonÕs type inequalities for differentiable convex functions with respect to a pair of functions. We also prove two more SimpsonÕs type inequalities for differentiable convex functions with respect to a pair of functions using the power mean and HšlderÕs inequalities. It is also shown that the newly established inequalities are the extension of some existing results. Finally, we add some mathematical examples and their graphs to show the validity of newly established results. © 2023 Miskolc University Press
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Miskolc Mathematical Notes