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Montgomery Identity and Ostrowski Type Inequalities for a new Quantum Integral
  • Muhammad Aamir Ali,
  • Hüseyin BUDAK,
  • Mujahid Abbas
Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences
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Hüseyin BUDAK
Düzce University
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Mujahid Abbas
Government College University Lahore
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Abstract

In this paper, quantum version of Montgomery identity by applying $q^{b}$-integral is obtained. By employing the established identity, some new quantum Ostrowski type inequalities are proved. Several special cases of our main results are presented. It is also shown that the results presented in this paper generalize several other well known inequalities given in the existing literature on this subject.

Peer review status:UNDER REVIEW

02 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
06 Jun 2020Assigned to Editor
06 Jun 2020Submission Checks Completed
16 Jun 2020Reviewer(s) Assigned