New quantum variants of Simpson-newton type inequalities via (?, m)-convexity
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kangwon-Kyungki Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
. In this article, we will utilize (a, m)-convexity to create a new form of Simpson-Newton inequalities in quantum calculus by using qe1-integral and qe1derivative. Newly discovered inequalities can be transformed into quantum Newton and quantum Simpson for generalized convexity. Additionally, this article demonstrates how some recently created inequalities are simply the extensions of some previously existing inequalities. The main findings are generalizations of numerous results that already exist in the literature, and some fundamental inequalities, such as Holder's and Power mean, have been used to acquire new bounds.
Açıklama
Anahtar Kelimeler
Simpson's inequality, Newton's inequality, Quantum calculus, (& alpha, m)-convexity
Kaynak
Korean Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
N/A
Cilt
31
Sayı
2
