On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications
Date
2022
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Article
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De Gruyter Open Ltd
Journal Title
On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications
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Abstract
In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p, q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p, q)\left(p,q)-differentiable functions. We also show that the newly discovered results are generalizations of comparable results in the literature. Finally, we give application to special means of real numbers using the newly proved inequalities. © 2022 Xue-Xiao You et al., published by De Gruyter.
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Open Mathematics