量子微积分中一些新的q-Hermite-Hadamard-Mercer不等式及相关估计

IF 2.5 2区数学 Q1 MATHEMATICS

Journal of Nonlinear and Variational Analysis Pub Date : 2023-01-01 DOI:10.23952/jnva.7.2023.1.04

M. Ali, E. Köbis

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引用次数: 2

摘要

．在本文中，我们利用著名的Jensen-Mercer不等式建立了Hermite-Hadamard-Mercer不等式的量子版本。此外，我们还导出了一些新的可微函数的q -中点不等式和q -梯形不等式。新发展的不平等也被证明是文献中先前存在的不平等的延伸

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Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus

. 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

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来源期刊

Journal of Nonlinear and Variational Analysis Multiple-

CiteScore

3.30

自引率

3.40%

发文量