Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions | Zendy

Muhammad Yussouf | Zendy; Ghulam Farid | Zendy; Khuram Ali Khan | Zendy; Chahn Yong Jung | Zendy

Open Access

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

Author(s) -

Muhammad Yussouf,

Ghulam Farid,

Khuram Ali Khan,

Chahn Yong Jung

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5589405

Subject(s) - mathematics , hadamard transform , hadamard three lines theorem , hadamard's inequality , mittag leffler function , convex function , fractional calculus , hadamard three circle theorem , pure mathematics , regular polygon , type (biology) , mathematical analysis , hadamard product , hadamard matrix , geometry , ecology , biology

In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.

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