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    On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
    (De Gruyter Open Ltd, 2021) Ali, M. A.; Alp, N.; Budak, Hüseyin; Chu, Y. -M.; Zhang, Z.
    The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities. © 2021 Muhammad Aamir Ali et al., published by De Gruyter.
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    On some new trapezoidal inequalities for q?2 -quantum integrals via Green function
    (Springer Science and Business Media B.V., 2021) Ali, M. A.; Alp, N.; Budak, Hüseyin; Agarwal, P.
    In this paper, we first obtain a new identity for q?2-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q?2-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q? 1 - in the newly obtained results. © 2021, Forum D'Analystes, Chennai.
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    Quantum hermite-hadamard’s type inequalities for co-ordinated convex functions
    (Tsing Hua University, 2020) Alp, N.; Sarıkaya, Mehmet Zeki
    In this paper, we prove the correct q1q2-Hermite-Hadamard inequality, some new q1q2-HermiteHadamard inequalities, and generalized q1q2-Hermite-Hadamard inequality on q1q2-differentiable coordinated convex functions. Many results given in this paper provide extensions of others given in previous works. © 2020 Hampstead Psychological Associates. All rights reserved.