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Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for s-convex functions with applications
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  • Muhammad Aamir Ali,
  • Hüseyin BUDAK,
  • S.K. Ntouyas,
  • Jessada Tariboon
Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences

Corresponding Author:[email protected]

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Hüseyin BUDAK
Duzce University
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S.K. Ntouyas
University of Ioannina
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Jessada Tariboon
King Mongkut's University of Technology North Bangkok
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Abstract

In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the literature, like the results of [1, 12, 16]. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.