2022

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Quantum and Post-Quantum Simpson's and Newton's Type Inequalities for Coordinated General Convex Functions
(UMT Lahore, 2022) Ghulam Murtaza Baig
In this work, we establish two right quantum integral identities for coordinated pre-invex function, which are later used to formulate some quantum Simpson's and quantum Newton's type inequalities for coordinated pre-invex function. The limits (q1 ! 1; q2 ! 11) of inequalities allow us to introduce new inequalities and verify others already known. Furthermore, the post-quantum calculus allows us to establish two identities and which are further used to formulate post quantum Simpson's and post quantum Newton type inequalities for coordinated pre-invex function. When we substitute p1 = p2 = 1 in the post quantum version of the inequalities, we obtain results which are satis es the quantum version inequalities.