Some new Hermite–Hadamard type inequalities for functions whose nth derivatives are convex | Zendy

Badreddine Meftah | Zendy; Meriem Merad | Zendy; Nawel Ouanas | Zendy; Abdourazek Souahi | Zendy

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Some new Hermite–Hadamard type inequalities for functions whose n<sup>th</sup> derivatives are convex

Author(s) -

Badreddine Meftah,

Meriem Merad,

Nawel Ouanas,

Abdourazek Souahi

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2019.23.15

Subject(s) - hadamard transform , hermite polynomials , convex function , mathematics , differentiable function , identity (music) , type (biology) , pure mathematics , regular polygon , combinatorics , mathematical analysis , physics , geometry , ecology , biology , acoustics

We first create an integral identity for n-times differentiable functions. Relying on this identity, we establish some new Hermite-Hadamard type inequalities for functions whose nth derivatives are convex.

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