On New Estimates of q-HermiteÐHadamard Inequalities with Applications in Quantum Calculus
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2023
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MDPI
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Journal Title
On New Estimates of q-HermiteÐHadamard Inequalities with Applications in Quantum Calculus
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Abstract
In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard inequality (involving left and right integrals proved by Bermudo et al.) under q-differentiable convex functions. Finally, we provide some examples to illustrate the validity of newly obtained quantum inequalities. © 2023 by the authors.
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