A New Advanced Class of Convex Functions with Related Results

Autor:	Muhammad Adil Khan, Adnan, Tareq Saeed, Eze R. Nwaeze
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	strongly convex function strongly η-convex function η-convex function Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 2, p 195 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12020195
Popis:	It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established. To point out the importance of the new class of functions, some examples are presented. Additionally, the famous Hermite–Hadamard inequality is derived for this generalized family of convex functions. Furthermore, some inequalities and results for strong η-convex function are also derived. We anticipate that this new class of convex functions will open the research door to more investigations in this direction.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/34f156b3f3684210874cd6d4df11fa4b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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