Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions

Yongping Deng, Muhammad Uzair Awan and Shanhe Wu
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Yongping Deng: Department of Mathematics, Longyan University, Longyan 364012, China
Muhammad Uzair Awan: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Shanhe Wu: Department of Mathematics, Longyan University, Longyan 364012, China

Mathematics, 2019, vol. 7, issue 8, 1-14

Abstract: In this paper, we establish a new q -integral identity, the result is then used to derive two q -integral inequalities of Simpson-type involving strongly preinvex functions. Some special cases of the obtained results are also considered, it is shown that several new and previously known results can be derived via generalized strongly preinvex functions and quantum integrals.

Keywords: q-integral inequality; strongly preinvex function; Simpson inequality; quantum integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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