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On Ostrowski inequality for quantum calculus

Author

Listed:
  • Aglić Aljinović, Andrea
  • Kovačević, Domagoj
  • Puljiz, Mate
  • Žgaljić Keko, Ana

Abstract

We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality.

Suggested Citation

  • Aglić Aljinović, Andrea & Kovačević, Domagoj & Puljiz, Mate & Žgaljić Keko, Ana, 2021. "On Ostrowski inequality for quantum calculus," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005439
    DOI: 10.1016/j.amc.2021.126454
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    References listed on IDEAS

    as
    1. Ahasan, Mohd. & Mursaleen, M., 2020. "Generalized Szász-Mirakjan type operators via q-calculus and approximation properties," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Noor, Muhammad Aslam & Noor, Khalida Inayat & Awan, Muhammad Uzair, 2015. "Some quantum integral inequalities via preinvex functions," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 242-251.
    3. M. H. Annaby & A. E. Hamza & K. A. Aldwoah, 2012. "Hahn Difference Operator and Associated Jackson–Nörlund Integrals," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 133-153, July.
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