Research article

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

  • Received: 28 April 2021 Accepted: 15 June 2021 Published: 22 June 2021
  • MSC : 05A30, 26A51, 26D10, 26D15

  • In this paper, we establish a new $ (p, q) $-integral identity. Then, 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.

    Citation: Waewta Luangboon, Kamsing Nonlaopon, Jessada Tariboon, Sortiris K. Ntouyas. On Simpson type inequalities for generalized strongly preinvex functions via $ (p, q) $-calculus and applications[J]. AIMS Mathematics, 2021, 6(9): 9236-9261. doi: 10.3934/math.2021537

    Related Papers:

  • In this paper, we establish a new $ (p, q) $-integral identity. Then, 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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