New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions

New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions

Abstract In this research, we derive two generalized integral identities involving the q ϰ 2 $q^{\varkappa _{2}}$ -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 for q-differentiable pr...

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Bibliographic Details
Main Authors: Muhammad Aamir Ali, Mujahid Abbas, Hüseyin Budak, Praveen Agarwal, Ghulam Murtaza, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Simpson’s 1 3 $\frac{1}{3}$ formula
Simpson’s 3 8 $\frac{3}{8}$ formula
Integral inequalities
Quantum calculus
Preinvex functions
Online Access:https://doi.org/10.1186/s13662-021-03226-x

Internet

https://doi.org/10.1186/s13662-021-03226-x

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