q-Hardy type inequalities for quantum integrals
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable results in the literature on inequalities. Additionally, by taking the limit q -> 1(-), our results give classical results on the Hardy inequality.
Açıklama
Anahtar Kelimeler
Hardy inequality, Opial inequality, Holder's inequality, Convex-Functions
Kaynak
Advances In Difference Equations
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
2021
Sayı
1
