New parameterized quantum integral inequalities via η-quasiconvexity

Abstract We establish new quantum Hermite–Hadamard and midpoint types inequalities via a parameter μ∈[0,1] $\mu \in [0,1]$ for a function F whose |αDqF|u $|{}_{\alpha }D_{q}F|^{u}$ is η-quasiconvex on [α,β] $[\alpha ,\beta ]$ with u≥1 $u\geq 1$. Results obtained in this paper generalize, sharpen, an...

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Bibliographic Details
Main Authors: Eze R. Nwaeze, Ana M. Tameru
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2358-z