Hermite–Hadamard type inequalities via k-fractional integrals concerning differentiable generalized η-convex mappings | Zendy

Artion Kashuri | Zendy; Rozana Liko | Zendy

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Hermite–Hadamard type inequalities via k-fractional integrals concerning differentiable generalized η-convex mappings

Author(s) -

Artion Kashuri,

Rozana Liko

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.2020.24.02

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

The authors discover a new identity concerning differentiable mappings defined on (m, g; θ)-invex set via k-fractional integrals. By using the obtained identity as an auxiliary result, some new estimates with respect to Hermite–Hadamard type inequalities via k-fractional integrals for generalized-m-(((h1◦g), (h2◦g)); (η1, η2))-convex mappings are presented. It is pointed out that some new special cases can be deduced from the main results. Also, some applications to special means for different positive real numbers are provided.

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