Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function

In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity...

Descripción completa

Detalles Bibliográficos
Autores principales: Nisar, Kottakkaran Sooppy, Qi, Feng, Rahman, Gauhar, Mubeen, Shahid, Arshad, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6006262/
https://www.ncbi.nlm.nih.gov/pubmed/30137732
http://dx.doi.org/10.1186/s13660-018-1717-8
Descripción
Sumario:In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity of the extended gamma function by using the Hölder inequality, and introduce a Turán type mean inequality for the Kummer confluent k-hypergeometric function.

Ejemplares similares