Novel results on trapezoid-type inequalities for conformable fractional integrals

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Hezenci F., Budak H.

TURKISH JOURNAL OF MATHEMATICS, no.2, pp.425-438, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3371
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.425-438
  • Kocaeli University Affiliated: No

Abstract

This paper establishes an identity for the case of differentiable s-convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by s-convex functions with the help of the conformable fractional integrals. Several important inequalities are acquired with taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, an example using graph is given in order to show that our main results are correct. By using the special choices of the obtained results, we present several new results connected with trapezoid-type inequalities.