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Muhammad Aamir Ali, Elisabeth Köbis, Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus

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DOI: 10.23952/jnva.7.2023.1.04

Volume 7, Issue 1, 1 February 2023, Pages 49-66

 

Abstract. In this paper, we establish a quantum version of the Hermite-Hadamard-Mercer inequalities using the well-known Jensen-Mercer inequality. Moreover, we derive some new q-midpoint and q-trapezoidal type inequalities for differentiable functions. The newly developed inequalities are also shown to be the extensions of preexisting inequalities in the literature.

 

How to Cite this Article:
M.A. Ali, E. Köbis, Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus, J. Nonlinear Var. Anal. 7 (2023), 49-66.