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