On new generalized quantum integrals and related Hermite-Hadamard inequalities

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Kara H., Budak H., Alp N., Kalsoom H., Sarikaya M. Z.

JOURNAL OF INEQUALITIES AND APPLICATIONS, no.1, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1186/s13660-021-02715-7
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli University Affiliated: No

Abstract

In this article, we introduce a new concept of quantum integrals which is called T-kappa 2(q)-integral. Then we prove several properties of this concept of quantum integrals. Moreover, we present several Hermite-Hadamard type inequalities for T-kappa 2(q)-integral by utilizing differentiable convex functions. The results presented in this article are unification and generalization of the comparable results in the literature.