Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator | Zendy

Dong Zhang | Zendy; Muhammad Shoaib Saleem | Zendy; Thongchai Botmart | Zendy; Muhammad Sajid Zahoor | Zendy; Rabia Bano | Zendy

Open Access

Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Author(s) -

Dong Zhang,

Muhammad Shoaib Saleem,

Thongchai Botmart,

Muhammad Sajid Zahoor,

Rabia Bano

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5640822

Subject(s) - convex function , mathematics , regular polygon , operator (biology) , type (biology) , hermite polynomials , hadamard transform , pure mathematics , mathematical analysis , geometry , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene

Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p , h -convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for p , h -convex functions. Finally, the applications of our main findings are also given.

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