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Volume 34, Issue 4
Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions

Tieyan Lian, Wei Tang & Rui Zhou

DOI: 10.13447/j.1674-5647.2018.04.08

Commun. Math. Res., 34 (2018), pp. 351-362.

Published online: 2019-12

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  • Abstract

In this article, we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral. The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.

  • Keywords

Hermite-Hadamard's integral inequality, Riemann-Liouville fractional integral, Hölder's integral inequality

  • AMS Subject Headings

26D15, 26A51

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liantieyan@sust.edu.cn (Tieyan Lian)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-351, author = {Lian , TieyanTang , Wei and Zhou , Rui}, title = {Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {4}, pages = {351--362}, abstract = {

In this article, we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral. The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.08}, url = {http://global-sci.org/intro/article_detail/cmr/13508.html} }
TY - JOUR T1 - Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions AU - Lian , Tieyan AU - Tang , Wei AU - Zhou , Rui JO - Communications in Mathematical Research VL - 4 SP - 351 EP - 362 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.04.08 UR - https://global-sci.org/intro/article_detail/cmr/13508.html KW - Hermite-Hadamard's integral inequality, Riemann-Liouville fractional integral, Hölder's integral inequality AB -

In this article, we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral. The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.

Tieyan Lian, Wei Tang & Rui Zhou. (2019). Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions. Communications in Mathematical Research . 34 (4). 351-362. doi:10.13447/j.1674-5647.2018.04.08
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