Study of quantum Ostrowski's-type inequalities for differentiable convex functions

  • M. A. Ali Jiangsu Key Laboratory for NSLSCS, School Math. Sci., Nanjing Normal Univ., China
  • M. Fečkan Comenius Univ. Bratislava and Math. Inst., Slovak Acad. Sci., Bratislava, Slovakia
  • A. Mateen COMSATS Univ. Islamabad Sahiwal Campus, Pakistan
Keywords: Hermite–Hadamard inequalities, Ostrowski’s inequalities, q-calculus, convex functions

Abstract

UDC 517.9

We prove some new  $q$-Ostrowski's-type inequalities for differentiable and bounded functions.  Moreover, we present the relationship between the newly established   and  already known inequalities, which is very interesting for  new readers.  Some applications to special means of real numbers are given to make the results more valuable.

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Published
05.02.2023
How to Cite
AliM. A., FečkanM., and MateenA. “Study of Quantum Ostrowski’s-Type Inequalities for Differentiable Convex Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 1, Feb. 2023, pp. 7 - 27, doi:10.37863/umzh.v75i1.7313.
Section
Research articles