Journal of Function Spaces (Jan 2024)

Exploring Advanced Versions of Hermite-Hadamard and Trapezoid-Type Inequalities by Implementation of Fuzzy Interval-Valued Functions

  • Yaqun Niu,
  • Rana Safdar Ali,
  • Naila Talib,
  • Shahid Mubeen,
  • Gauhar Rahman,
  • Çetin Yildiz,
  • Fuad A. Awwad,
  • Emad A. A. Ismail

DOI
https://doi.org/10.1155/2024/1988187
Journal volume & issue
Vol. 2024

Abstract

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The extension of interval-valued and real-valued functions known as fuzzy interval-valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h-Godunova-Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite-Hadamard and trapezoid-type fuzzy fractional integral by the implementation of generalized fuzzy fractional operators having modified version of the Bessel-Maitland E1vBMF function as its kernel. Moreover, we extract some well-known inequalities from our main results.