Some extensions of Ostrowski type inequalities for q-symmetric integrals involving h-convex functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article presents the Ostrowski type inequalities for h-convex functions in the context of quantum variational calculus using the Montogmery identity involving q-symmetric integrals. Additionally, Holder's and Power mean inequalities involving q-symmetric integral are powerful tools to prove the results. Certain novel Ostrowski type inequalities for P-convex function, s-convex function, Godunova levin function, and s-Godunova Levin function are established, which are special instances of inequalities found for h-convex functions. Some examples are also provided along with graphical illusions to demonstrate the validity of the new discoveries. Our findings are regarded as generalizations of some known inequities from the literature.
Açıklama
Anahtar Kelimeler
Convex function, h-convex function, quantum calculus, quantum symmetric variational calculus, Ostrowski type inequalities
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
38
Sayı
33
