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CORRECTED EULER-MACLAURIN-TYPE INEQUALITIES FOR ψ-HILFER FRACTIONAL INTEGRALS
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  • UMUT BAŞ,
  • Hüseyin BUDAK,
  • Huseyin Yildirim,
  • YAREN ACAR
UMUT BAŞ
Kahramanmaras Sutcu Imam Universitesi

Corresponding Author:[email protected]

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Hüseyin BUDAK
Duzce Universitesi
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Huseyin Yildirim
Kahramanmaras Sutcu Imam Universitesi
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YAREN ACAR
Duzce Universitesi
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Abstract

Abstract. In this article, novel Euler-Maclaurin type inequalities have been derived. These inequalities have been obtained through the use of ψ-Hilfer fractional integrals. In the process of deriving these inequalities, the condition that the absolute value of the derivative of the function f is convex has been taken into consideration. Furthermore, to facilitate the understanding of the main results presented in the article, special cases of the derived theorems have been examined, and various examples have been provided to illustrate these results concretely. Thus, the study also demonstrates how the obtained theoretical findings can be applied in a broader context.