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New quantum boundaries for q-Simpson's type inequalities for co-ordinated convex functions
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  • necmettin alp,
  • Muhammad Aamir Ali,
  • Hüseyin BUDAK,
  • Mehmet Zeki Sarikaya
necmettin alp
Duzce Universitesi

Corresponding Author:[email protected]

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Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences
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Hüseyin BUDAK
Düzce University
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Mehmet Zeki Sarikaya
Duzce Universitesi
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The aim of this work is to develop quantum estimates for q-Simpson type integral inequalities for co-ordinated convex functions by using the notion of newly defined q₁q₂-derivatives and integrals. For this, we establish a new identity including quantum integrals and quantum numbers via q₁q₂- differentiable functions. After that, with the help of this equality, we achieved the results we want. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson’s inequalities for co-ordinated convex functions.