ON SOME NEW AND GENERAL q-HERMITEÐHADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS
Date
2024
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Article
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University of Miskolc
Journal Title
ON SOME NEW AND GENERAL q-HERMITEÐHADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS
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Abstract
In this paper, we establish a new version of HermiteÐHadamard type inequality for convex functions. Moreover, we establish a general version of q-integral identity involving qdifferentiable functions to prove some new q-midpoint and q-trapezoidal type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities can be converted into some existing inequalities within the literature. Finally, we add some mathematical examples to show the validation of newly established inequalities. © 2024 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.
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Miskolc Mathematical Notes