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Post quantum Ostrowski-type inequalities for twice $(p,q)$-differentiable convex functions
  • +2
  • Waewta Luangboon,
  • Kamsing Nonlaopon,
  • Jessada Tariboon,
  • S.K. Ntouyas,
  • Huseyin Budak
Waewta Luangboon
Khon Kaen University Faculty of Science
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Kamsing Nonlaopon
Khon Kaen University Faculty of Science

Corresponding Author:nkamsi@kku.ac.th

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Jessada Tariboon
King Mongkut's Institute of Technology North Bangkok
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S.K. Ntouyas
University of Ioannina
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Huseyin Budak
Duzce University
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Abstract

In this paper, we establish a new post quantum integral identity for twice $(p,q)$-differentiable convex functions. Then, we use this result to derive some new post quantum Ostrowski-type inequalities for twice $(p,q)$-differentiable convex functions involving $(p,q)_a$- and $(p,q)^b$-integrals. The newly established results are also proven to be generalizations of some existing results in the field of integral inequalities of already published ones.