k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings

In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text] -convexity, [Formula: see text] -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presen...

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Detalles Bibliográficos
Autores principales: Wang, Hao, Du, Tingsong, Zhang, Yao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5736796/
https://www.ncbi.nlm.nih.gov/pubmed/29290666
http://dx.doi.org/10.1186/s13660-017-1586-6
Descripción
Sumario:In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text] -convexity, [Formula: see text] -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presented provide extensions of those given in earlier works.

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