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Refinements of Various Types of Fractional Inequalities via Generalized Convexity

Author

Listed:
  • Yong Tang
  • Ghulam Farid
  • M. Y. Youssif
  • Zakieldeen Aboabuda
  • Amna E. Elhag
  • Kahkashan Mahreen
  • Çetin Yildiz

Abstract

This paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,℠−m−p-convex functions. These inequalities generate results for several fractional integral operators and simultaneously hold for convex, strongly convex, and exponentially convex functions. The particular cases of presented inequalities are directly connected with many recently published results.

Suggested Citation

  • Yong Tang & Ghulam Farid & M. Y. Youssif & Zakieldeen Aboabuda & Amna E. Elhag & Kahkashan Mahreen & Çetin Yildiz, 2024. "Refinements of Various Types of Fractional Inequalities via Generalized Convexity," Journal of Mathematics, Hindawi, vol. 2024, pages 1-16, July.
    • Handle: RePEc:hin:jjmath:4082683
    DOI: 10.1155/2024/4082683
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