4.6 Article

On Simpson type inequalities for generalized strongly preinvex functions via (p, q)-calculus and applications

Journal

AIMS MATHEMATICS
Volume 6, Issue 9, Pages 9236-9261

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021537

Keywords

Simpson inequality; strongly preinvex function; (p, q)-calculus; (p, q)-differentiable function; (p, q)-integrable function

Funding

  1. Program Management Unit for Human Resources & Institutional Development, Research and Innovation [B05F630104]
  2. Development and Promotion of Science and Technology talents project (DPST) , Thailand

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In this paper, a new (p, q)-integral identity is established, which is then used to derive (p, q)-integral Simpson type inequalities involving generalized strongly preinvex functions. Furthermore, the results are applied to study special cases and examples are provided to illustrate the findings.
In this paper, we establish a new (p, q)-integral identity. 'hen, the obtained result is employed to derive (p, q)-integral Simpson type inequalities involving generalized strongly preinvex functions. Moreover, our results are also used to study some special cases and some examples are given to illustrate the investigated results.

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