Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus

Ali M. A., Budak H., Akkurt A., Chu Y.

OPEN MATHEMATICS, vol.19, pp.440-449, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2021
  • Doi Number: 10.1515/math-2021-0020
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.440-449
  • Kocaeli University Affiliated: No

Abstract

In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of vertical bar(b)D(q)(2)f vertical bar and vertical bar(a)D(q)(2)f vertical bar, we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving q(a) and q(b)-quantum integrals. The results presented here are the generalization of already published ones.