On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals

In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Herm...

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Detalles Bibliográficos
Autores principales: Kunt, Mehmet, İşcan, İmdat, Yazıcı, Nazlı, Gözütok, Uğur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870551/
https://www.ncbi.nlm.nih.gov/pubmed/27330901
http://dx.doi.org/10.1186/s40064-016-2215-4
Descripción
Sumario:In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite–Hadamard–Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works.

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