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Volume 32, Issue 2
Several Hermite-Hadamard Type Inequalities for Harmonically Convex Functions in the Second Sense with Applications

Wen Wang, Shiguo Yang & Xueying Liu

DOI: 10.13447/j.1674-5647.2016.02.02

Commun. Math. Res., 32 (2016), pp. 105-110.

Published online: 2021-03

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  • Abstract

In this paper, we first introduce the concept "harmonically convex functions" in the second sense and establish several Hermite-Hadamard type inequalities for harmonically convex functions in the second sense. Finally, some applications to special mean are shown.

  • Keywords

Hermite-Hadamard's inequality, harmonically convex function, mean, inequality.

  • AMS Subject Headings

26D15, 26A51

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-32-105, author = {Wang , WenYang , Shiguo and Liu , Xueying}, title = {Several Hermite-Hadamard Type Inequalities for Harmonically Convex Functions in the Second Sense with Applications}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {2}, pages = {105--110}, abstract = {

In this paper, we first introduce the concept "harmonically convex functions" in the second sense and establish several Hermite-Hadamard type inequalities for harmonically convex functions in the second sense. Finally, some applications to special mean are shown.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.02.02}, url = {http://global-sci.org/intro/article_detail/cmr/18667.html} }
TY - JOUR T1 - Several Hermite-Hadamard Type Inequalities for Harmonically Convex Functions in the Second Sense with Applications AU - Wang , Wen AU - Yang , Shiguo AU - Liu , Xueying JO - Communications in Mathematical Research VL - 2 SP - 105 EP - 110 PY - 2021 DA - 2021/03 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.02.02 UR - https://global-sci.org/intro/article_detail/cmr/18667.html KW - Hermite-Hadamard's inequality, harmonically convex function, mean, inequality. AB -

In this paper, we first introduce the concept "harmonically convex functions" in the second sense and establish several Hermite-Hadamard type inequalities for harmonically convex functions in the second sense. Finally, some applications to special mean are shown.

Wang , WenYang , Shiguo and Liu , Xueying. (2021). Several Hermite-Hadamard Type Inequalities for Harmonically Convex Functions in the Second Sense with Applications. Communications in Mathematical Research . 32 (2). 105-110. doi:10.13447/j.1674-5647.2016.02.02
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