SOME NEW k-FRACTIONAL INTEGRAL INEQUALITIES CONTAINING MULTIPLE PARAMETERS VIA GENERALIZED (s,m)-PREINVEXITY

Authors

  • Yao Zhang China Three Gorges University - Department of Mathematics
  • Tingsong Du China Three Gorges University - Three Gorges Mathematical Research Center
  • Hao Wang China Three Gorges University - Department of Mathematics

Keywords:

Hadamard-type inequalities, generalized (s,m)-preinvex functions, k- fractional integrals

Abstract

We establish some new k-fractional integral inequalities for differentiable functions based on generalized (s,m)-preinvexity.  We also prove Hadamard-type inequalities involving products of two generalized (s,m)-preinvex functions.  These inequalities include some previously known results as special cases.

Author Biography

Hao Wang, China Three Gorges University - Department of Mathematics

 

 

Cover of n°40 Italian Journal of Pure and Applied Mathematics

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Published

2018-07-31

How to Cite

Zhang, Y., Du, T., & Wang, H. (2018). SOME NEW k-FRACTIONAL INTEGRAL INEQUALITIES CONTAINING MULTIPLE PARAMETERS VIA GENERALIZED (s,m)-PREINVEXITY. Italian Journal of Pure and Applied Mathematics, 40, 510–527. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6993

Issue

N°40 - July 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 Yao Zhang, Tingsong Du, Hao Wang

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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