On HT-convexity and Hadamard-type inequalities

Autor: Shu-Ping Bai, Shu-Hong Wang, Feng Qi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-019-2276-3
Popis: Abstract In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic mean and the p-logarithmic mean. These results generalize corresponding ones for HA-convex functions and MT-convex functions.
Databáze: Directory of Open Access Journals
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