On new refinements and generalizations of Q-Hermite-Hadamard inequalities for convex functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mt Math Consortium
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We aim to prove generalized estimations for the q-Hermite-Hadamard inequality for convex functions using a parameter. By choosing this particular parameter, we show that our results reduce the previously obtained q-Hermite-Hadamard inequalities. We also present some new refinements of these q-Hermite- Hadamard inequalities. Furthermore, we establish a new lemma and, by using this lemma, we obtain some new quantum inequalities that generalize quantum midpoint and quantum trapezoid inequalities for convex functions.
Açıklama
Anahtar Kelimeler
q-derivative, q-integral inequalities, quantum calculus, convexity, Midpoint Type Inequalities, Integral-Inequalities
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
54
Sayı
2
