Author:
Ali Muhammad Aamir,Abbas Mujahid,Budak Hüseyin,Agarwal Praveen,Murtaza Ghulam,Chu Yu-Ming
Abstract
AbstractIn this research, we derive two generalized integral identities involving the$q^{\varkappa _{2}}$qϰ2-quantum integrals and quantum numbers, the results are then used to establish some new quantum boundaries for quantum Simpson’s and quantum Newton’s inequalities forq-differentiable preinvex functions. Moreover, we obtain some new and known Simpson’s and Newton’s type inequalities by considering the limit$q\rightarrow 1^{-}$q→1−in the key results of this paper.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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