Hadamard Inequalities for Stronglyα,m-Convex Functions via Caputo Fractional Derivatives | Zendy

Yanliang Dong | Zendy; Muhammad Zeb | Zendy; Ghulam Farid | Zendy; Sidra Bibi | Zendy

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Hadamard Inequalities for Strongly

(α, m)

-Convex Functions via Caputo Fractional Derivatives

Author(s) -

Yanliang Dong,

Muhammad Zeb,

Ghulam Farid,

Sidra Bibi

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 - 10.1155/2021/6691151

Subject(s) - mathematics , convex function , regular polygon , hadamard transform , combinatorics , hadamard's inequality , discrete mathematics , hadamard matrix , mathematical analysis , geometry

In this paper, we present two versions of the Hadamard inequality for α , m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m -convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.

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