HERMITE-HADAMARD INTEGRAL INEQUALITY FOR $(\alpha,m)$-CONVEX FUNCTIONS

Author(s):

Mehdi Asadi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, after introducing the $m$-convexity by Toader, as an intermediate among the general convexity and star shaped property, we bring Hermite-Hadamard integral inequality on $(\alpha,m)$-convex function in the new form. Previous results about the Hermite-Hadamard inequality for $m$-convex functions are part of the results of our theorems. Illustrated examples of $(\alpha,m)$-convex and $m$-convex functions are also included in the article.
Keywords:

Hermite-Hadamard integral inequality , -convex function , convex functions

Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:12 Issue: 4, 2022
Pages:
515 to 522
https://www.magiran.com/p2542408  
سامانه نویسندگان
  • Asadi، Mehdi
    Author
    Asadi, Mehdi
    (1389) دکتری ریاضی، دانشگاه آزاد اسلامی واحد علوم و تحقیقات
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