The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral | Zendy

Hua Wang | Zendy; Jamroz Khan | Zendy; Muhammad Adil Khan | Zendy; Sadia Khalid | Zendy; Rewayat Khan | Zendy

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The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral

Author(s) -

Hua Wang,

Jamroz Khan,

Muhammad Adil Khan,

Sadia Khalid,

Rewayat Khan

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 - 10.1155/2021/5516987

Subject(s) - mathematics , hadamard transform , type (biology) , hermite polynomials , inequality , pure mathematics , jensen's inequality , mathematical analysis , convex analysis , regular polygon , ecology , biology , geometry , convex optimization

In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain bounds for the difference of the newly obtained inequalities.

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