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http://dx.doi.org/10.11568/kjm.2021.29.1.193

SIMPSON'S AND NEWTON'S TYPE QUANTUM INTEGRAL INEQUALITIES FOR PREINVEX FUNCTIONS  

Ali, Muhammad Aamir (Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University)
Abbas, Mujahid (Department of Mathematics, Government College University)
Sehar, Mubarra (Department of Mathematics, Government College University)
Murtaza, Ghulam (Department of Mathematics (SSC) University of Management and Technology)
Publication Information
Korean Journal of Mathematics / v.29, no.1, 2021 , pp. 193-209 More about this Journal
Abstract
In this research, we offer two new quantum integral equalities for recently defined qε2-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.
Keywords
Simpson's inequalities; q-integral; q-derivative; preinvex function;
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