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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 3
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Articles

Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity

ORCID Icon, , &
Pages 642-662 | Received 01 Aug 2017, Accepted 03 May 2019, Published online: 14 May 2019
 

Abstract

In this paper, we first introduce the concept of generalized relative semi-(m,h)-preinvex functions, and then a new k-Riemann–Liouville fractional integral identity for differentiable mapping is derived. With the help of this identity, we present some new bounds on trapezium inequalities via generalized relative semi-(m,h)-preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by the National Natural Science Foundation of China under grant no. 61374028.

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