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k-Fractional inequalities associated with a generalized convexityopen access
- Authors
- Saddiqa, Maryam; Ullah, Saleem; Tawfiq, Ferdous M. O.; Ro, Jong-Suk; Farid, Ghulam; Zainab, Saira
- Issue Date
- 2023
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- convex function; generalized fractional integrals; Mittag-Leffler function; strongly exponentially (α, h − m) − p-convex function
- Citation
- AIMS Mathematics, v.8, no.12, pp 28540 - 28557
- Pages
- 18
- Journal Title
- AIMS Mathematics
- Volume
- 8
- Number
- 12
- Start Page
- 28540
- End Page
- 28557
- ISSN
- 2473-6988
2473-6988
- Abstract
- The aim of this paper is to present the bounds of k-fractional integrals containing the Mittag-Leffler function. For establishing these bounds, a generalized convexity namely strongly exponentially (α, h − m) − p-convexity is utilized. The results of this article provide many new fractional inequalities for several types of fractional integrals and various kinds of convexities. Moreover, an identity is established which helps in proving a Hadamard type inequality. © 2023 the Author(s),.
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