loading page

Post-quantum Hermite-Hadamard inequalities involving newly defined (p,q)-integral
  • +1
  • Muhammad Aamir Ali,
  • Hüseyin BUDAK,
  • Humaira Kalsoom,
  • Yuming Chu
Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences
Author Profile
Hüseyin BUDAK
Düzce University
Author Profile
Humaira Kalsoom
Zhejiang Agriculture University
Author Profile
Yuming Chu
Huzhou University
Author Profile

Abstract

In this investigation, we introduce new definitions of (p,q)-derivative and integral and discuss their fundamental properties. Some new Hermite-Hadamard inequalities employing newly defined (p,q)-integral are also obtained for convex functions. Furthermore, we are interested in finding (p,q)-estimates for midpoint and trapezoidal type inequalities for differentiable functions. It is revealed that the inequalities given in this article are extensions of offered inequalities in the literature of Hermite-Hadamard inequalities.