*Article* **Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions**

**Yongping Deng 1, Muhammad Uzair Awan 2 and Shanhe Wu 1,\***


Received: 29 June 2019; Accepted: 13 August 2019; Published: 16 August 2019

**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

**MSC:** 26D10; 26D15; 26A51; 34A08
