Open AccessSome integral inequalities for coordinated log-$ h $-convex interval-valued functions
Author(s) -
Fangfang Shi,
Guoju Ye,
Dafang Zhao,
Wei Liu
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022009
Subject(s) - hadamard transform , interval (graph theory) , mathematics , convexity , hermite polynomials , convex function , inequality , type (biology) , regular polygon , jensen's inequality , pure mathematics , combinatorics , discrete mathematics , convex optimization , mathematical analysis , convex analysis , geometry , ecology , financial economics , economics , biology
We introduce and investigate the coordinated log-$ h $-convexity for interval-valued functions. Also, we prove some new Jensen type inequalities and Hermite-Hadamard type inequalities, which generalize some known results in the literature. Moreover, some examples are given to illustrate our results.