New Perspectives of Symmetry Conferred by q-Hermite-Hadamard Type Integral Inequalities

Autor:	Loredana Ciurdariu, Eugenia Grecu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	q-calculus convexity midpoint inequalities Hermite-Hadamard type inequalities Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 8, p 1514 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15081514
Popis:	The main goal of this work is to provide quantum parametrized Hermite-Hadamard like type integral inequalities for functions whose second quantum derivatives in absolute values follow different type of convexities. A new quantum integral identity is derived for twice quantum differentiable functions, which is used as a key element in our demonstrations along with several basic inequalities such as: power mean inequality, and Holder’s inequality. The symmetry of the Hermite-Hadamard type inequalities is stressed by the different types of convexities. Several special cases of the parameter are chosen to illustrate the investigated results. Four examples are presented.
Databáze:	Directory of Open Access Journals
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