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$Iq$-Hermite-Hadamard inclusions for the interval-valued functions of two variables
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  • Muhammad Aamir Ali,
  • Hüseyin BUDAK,
  • Hasan Kara,
  • Shahid Qaisar
Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences

Corresponding Author:[email protected]

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Hüseyin BUDAK
Düzce University
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Hasan Kara
Düzce Üniversitesi
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Shahid Qaisar
COMSATS, Institute of information technology, Islamabad, Sahiwal Campus
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In this work, we introduce the concept of double quantum integrals for the interval-valued functions of two variables. We offer several new inclusions of the Hermite-Hadamard type for co-ordinated convex interval-valued functions using the newly defined integrals. Moreover, we prove trapezoidal type inequalities for interval-valued functions of two variables using the ideas of the Pompeiu--Hausdorff distance between the intervals. It is also revealed that the results offered in this work are the generalization of several existing results.