Some quantum estimates for Hermite–Hadamard inequalities

Muhammad Aslam Noor, Khalida Inayat Noor and Muhammad Uzair Awan

Applied Mathematics and Computation, 2015, vol. 251, issue C, 675-679

Abstract: In this paper, we establish quantum analogue of classical integral identity. Using this identity, we derive some quantum estimates for Hermite–Hadamard inequalities for q-differentiable convex functions and q-differentiable quasi convex functions. Results obtained present refinement and improvement of the known results. The ideas and techniques of this paper may stimulate further research.

Keywords: Convex functions; Quantum; q-Differentiable; q-Integration; Hermite–Hadamard inequality (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:675-679

DOI: 10.1016/j.amc.2014.11.090

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