Extensions of different type parameterized inequalities for generalized [Formula: see text] -preinvex mappings via k-fractional integrals

The authors discover a general k-fractional integral identity with multi-parameters for twice differentiable functions. By using this integral equation, the authors derive some new bounds on Hermite–Hadamard’s and Simpson’s inequalities for generalized [Formula: see text] -preinvex functions through...

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Detalles Bibliográficos
Autores principales: Zhang, Yao, Du, Ting-Song, Wang, Hao, Shen, Yan-Jun, Kashuri, Artion
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5847169/
https://www.ncbi.nlm.nih.gov/pubmed/29568210
http://dx.doi.org/10.1186/s13660-018-1639-5
Descripción
Sumario:The authors discover a general k-fractional integral identity with multi-parameters for twice differentiable functions. By using this integral equation, the authors derive some new bounds on Hermite–Hadamard’s and Simpson’s inequalities for generalized [Formula: see text] -preinvex functions through k-fractional integrals. By taking the special parameter values for various suitable choices of function h, some interesting results are also obtained.

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