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Generalized fractional midpoint type inequalities for co-ordinated convex functions
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  • Fatih HEZENCİ,
  • Hüseyin BUDAK,
  • Hasan KARA,
  • Mehmet Zeki Sarikaya
Fatih HEZENCİ
Düzce Üniversitesi

Corresponding Author:[email protected]

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Hüseyin BUDAK
Duzce University
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Hasan KARA
Düzce Üniversitesi
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Mehmet Zeki Sarikaya
Duzce Universitesi
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Abstract

In this research paper, we investigate generalized fractional integrals to obtain midpoint type inequalities for the co-ordinated convex functions. First of all, we establish an identity for twice partially differentiable mappings. By utilizing this equality, some midpoint type inequalities via generalized fractional integrals are proved. We also show that the main results reduce some midpoint inequalities given in earlier works for Riemann integrals and Riemann-Liouville fractional integrals. Finally, some new inequalities for $k$-Riemann-Liouville fractional integrals are presented as special cases of our results.