Newton-type inequalities associated with convex functions via quantum calculus

Autor: Waewta Luangboon, Kamsing Nonlaopon, Mehmet Zeki Sarikaya, Hüseyin Budak
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Miskolc Mathematical Notes, Vol 25, Iss 1, p 383 (2024)
Druh dokumentu: article
ISSN: 1787-2405
1787-2413
DOI: 10.18514/MMN.2024.4203
Popis: In this paper, we firstly establish an identity by using the notions of quantum derivatives and integrals. Using this quantum identity, quantum Newton-type inequalities associated with convex functions are proved. We also show that the newly established inequalities can be recaptured into some existing inequalities by taking q→1−
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