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

In this paper, we first introduce the concept of generalized relative semi- -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...

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Published inApplicable analysis Vol. 100; no. 3; pp. 642 - 662
Main Authors Du, Tingsong, Awan, Muhammad Uzair, Kashuri, Artion, Zhao, Shasha
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 17.02.2021
Taylor & Francis Ltd
Subjects
G. M. N'Guerekata
generalized relative semi
Inequalities
k-Riemann-Liouville fractional integrals
preinvex functions
Primary 26A33
Secondary 26D15
Trapezium inequality
Online AccessGet full text
ISSN0003-6811
1563-504X
DOI10.1080/00036811.2019.1616083

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Abstract In this paper, we first introduce the concept of generalized relative semi- -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- -preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.
AbstractList In this paper, we first introduce the concept of generalized relative semi--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--preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.
In this paper, we first introduce the concept of generalized relative semi- -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- -preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.
Author Zhao, Shasha
Du, Tingsong
Awan, Muhammad Uzair
Kashuri, Artion
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  surname: Du
  fullname: Du, Tingsong
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  givenname: Muhammad Uzair
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  fullname: Awan, Muhammad Uzair
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  surname: Kashuri
  fullname: Kashuri, Artion
  organization: Department of Mathematics, Faculty of Technical Science, University 'Ismail Qemali'
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  givenname: Shasha
  surname: Zhao
  fullname: Zhao, Shasha
  organization: Department of Mathematics, College of Science, China Three Gorges University
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Snippet In this paper, we first introduce the concept of generalized relative semi- -preinvex functions, and then a new k-Riemann-Liouville fractional integral...
In this paper, we first introduce the concept of generalized relative semi--preinvex functions, and then a new k-Riemann–Liouville fractional integral identity...
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SubjectTerms G. M. N'Guerekata
generalized relative semi
Inequalities
k-Riemann-Liouville fractional integrals
preinvex functions
Primary 26A33
Secondary 26D15
Trapezium inequality
Title Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
URI https://www.tandfonline.com/doi/abs/10.1080/00036811.2019.1616083
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