On q-Hermite–Hadamard Type Inequalities via s-Convexity and (α,m)-Convexity

Autor:	Loredana Ciurdariu, Eugenia Grecu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	convex functions Hermite–Hadamard type inequalities quantum calculus Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 1, p 12 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8010012
Popis:	The purpose of the paper is to present new q-parametrized Hermite–Hadamard-like type integral inequalities for functions whose third quantum derivatives in absolute values are s-convex and (α,m)-convex, respectively. Two new q-integral identities are presented for three time q-differentiable functions. These lemmas are used like basic elements in our proofs, along with several important tools like q-power mean inequality, and q-Holder’s inequality. In a special case, a non-trivial example is considered for a specific parameter and this case illustrates the investigated results. We make links between these findings and several previous discoveries from the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/81a1f2af012d473f8500fe0d5b563301 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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