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

Tieyan Lian, Wei Tang & Rui Zhou

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 = {Tieyan and Lian and liantieyan@sust.edu.cn and 5955 and College of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an, 710021 and Tieyan Lian and Wei and Tang and and 5956 and College of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi’an, 710021 and Wei Tang and Rui and Zhou and and 5985 and College of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an, 710021 and Rui Zhou}, 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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