Some trapezoid and midpoint type inequalities for newly defined quantum integrals

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BUDAK H.

Proyecciones, vol.40, no.1, pp.199-215, 2021 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.22199/issn.0717-6279-2021-01-0013
  • Journal Name: Proyecciones
  • Journal Indexes: Scopus, Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Page Numbers: pp.199-215
  • Keywords: ;Midpoint, Convex function, Hermite-Hadamard inequality, q-integral, Quantum calculus, Trapezoid
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: No

Abstract

In this paper, we first obtain prove two new identities for the quantum integrals. Then we establish Trapezoid and Midpoint type inequalities for quantum integrals defined by Bermudo et al. in [3]. The inequalities in this study generalize some results obtained in earlier works