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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fractional Hermite-Hadamard-type inequalities for interval-valued functions
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by Hüseyin Budak, Tuba Tunç and Mehmet Zeki Sarikaya PDF
Proc. Amer. Math. Soc. 148 (2020), 705-718 Request permission

Abstract:

In this paper, we define interval-valued right-sided Riemann- Liouville fractional integrals. Later, we handle Hermite-Hadamard inequality and Hermite-Hadamard-type inequalities via interval-valued Riemann-Liouville fractional integrals.
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Additional Information
  • Hüseyin Budak
  • Affiliation: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
  • MR Author ID: 1094290
  • Email: hsyn.budak@gmail.com
  • Tuba Tunç
  • Affiliation: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
  • Email: tubatunc03@gmail.com
  • Mehmet Zeki Sarikaya
  • Affiliation: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
  • MR Author ID: 690360
  • Email: sarikayamz@gmail.com
  • Received by editor(s): February 4, 2019
  • Received by editor(s) in revised form: May 22, 2019, and May 29, 2019
  • Published electronically: August 7, 2019
  • Communicated by: Mourad Ismail
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 705-718
  • MSC (2010): Primary 26E25, 28B20, 26A33, 26D15
  • DOI: https://doi.org/10.1090/proc/14741
  • MathSciNet review: 4052208