On some new simpsonÕs formula type inequalities for convex functions in post-quantum calculus
Date
2021
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Article
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MDPI
Journal Title
On some new simpsonÕs formula type inequalities for convex functions in post-quantum calculus
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Abstract
In this work, we prove a new (p, q)-integral identity involving a (p, q)-derivative and (p, q)-integral. The newly established identity is then used to show some new SimpsonÕs formula type inequalities for (p, q)-differentiable convex functions. Finally, the newly discovered results are shown to be refinements of comparable results in the literature. Analytic inequalities of this type, as well as the techniques used to solve them, have applications in a variety of fields where symmetry is important. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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Symmetry