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Article

Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions

1
Department of Mathematics, Longyan University, Longyan 364012, China
2
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 751; https://doi.org/10.3390/math7080751
Received: 29 June 2019 / Revised: 12 August 2019 / Accepted: 13 August 2019 / Published: 16 August 2019
(This article belongs to the Special Issue Inequalities in Geometry and Applications)
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. View Full-Text
Keywords: q-integral inequality; strongly preinvex function; Simpson inequality; quantum integral q-integral inequality; strongly preinvex function; Simpson inequality; quantum integral
MDPI and ACS Style

Deng, Y.; Awan, M.U.; Wu, S. Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions. Mathematics 2019, 7, 751. https://doi.org/10.3390/math7080751

AMA Style

Deng Y, Awan MU, Wu S. Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions. Mathematics. 2019; 7(8):751. https://doi.org/10.3390/math7080751

Chicago/Turabian Style

Deng, Yongping, Muhammad U. Awan, and Shanhe Wu. 2019. "Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions" Mathematics 7, no. 8: 751. https://doi.org/10.3390/math7080751

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