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

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
M. Ali, E. Köbis
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引用次数: 2

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
量子微积分中一些新的q-Hermite-Hadamard-Mercer不等式及相关估计
. 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
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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