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On new generalized quantum integrals and related Hermite-Hadamard inequalities
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  • Hasan KARA,
  • Hüseyin BUDAK,
  • necmettin alp,
  • Humaira Kalsoom,
  • Mehmet Zeki Sarikaya
Hasan KARA
Düzce Üniversitesi

Corresponding Author:hasan64kara@gmail.com

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Hüseyin BUDAK
Düzce University
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necmettin alp
Duzce Universitesi
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Humaira Kalsoom
Zhejiang Agriculture University
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Mehmet Zeki Sarikaya
Duzce Universitesi
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In this article, we introduce a new concept of quantum integrals which is called $^{\kappa_{2}}T_{q}$-integral. Then we prove several properties of this concept of quantum integrals. Moreover, we present several Hermite-Hadamard type inequalities for $^{\kappa_{2}}T_{q}$-integral by utilizing differentiable convex functions. The results presented in this article are unification and generalization of the comparable results in the literature.
Dec 2021Published in Journal of Inequalities and Applications volume 2021 issue 1. 10.1186/s13660-021-02715-7