Atatürk Üniversitesi Atatürk Üniversitesi
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Makale Tam Makale Uluslararası 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 Yıldız, Fuad A. Awwad, Emad A. A. Ismail

Journal of Function Spaces Cilt 2024 · Makale no 1988187 · 01.01.2024
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Özet

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.

Atıf için künye

Niu, Y., Ali, R. S., Talib, N., Mubeen, S., Rahman, G., Yıldız, Ç., Awwad, F. A., & Ismail, E. A. A. (2024). Exploring Advanced Versions of Hermite-Hadamard and Trapezoid-Type Inequalities by Implementation of Fuzzy Interval-Valued Functions. Journal of Function Spaces, 2024, 1988187. https://doi.org/10.1155/2024/1988187

BibTeX
@article{niu2024-146773,
  author = {Niu, Yaqun and Ali, Rana Safdar and Talib, Naila and Mubeen, Shahid and Rahman, Gauhar and Yıldız, Çetin and Awwad, Fuad A. and Ismail, Emad A. A.},
  title = {Exploring Advanced Versions of Hermite-Hadamard and Trapezoid-Type Inequalities by Implementation of Fuzzy Interval-Valued Functions},
  journal = {Journal of Function Spaces},
  year = {2024},
  volume = {2024},
  issn = {2314-8896},
  doi = {10.1155/2024/1988187},
  url = {https://akademik.atauni.edu.tr/yayinlar/146773-exploring-advanced-versions-of-hermite-hadamard-and-trapezoid-type-inequalities}
}