Some Milne's rule type inequalities in quantum calculus
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main goal of the current study is to establish some new Milne's rule type inequalities for single-time differentiable convex functions in the setting of quantum calculus. For this, we establish a quantum integral identity and then we prove some new inequalities of Milne's rule type for quantum differentiable convex functions. These inequalities are very important in Open-Newton's Cotes formulas because, with the help of these inequalities, we can find the bounds of Milne's rule for differentiable convex functions in classical or quantum calculus. The method adopted in this work to prove these inequalities are very easy and less conditional compared to some existing results. Finally, we give some mathematical examples to show the validity of newly established inequalities.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, Jensen-inequality, convex interval-valued functions, Differentiable Mappings, Convex-Functions, Real Numbers, Midpoint
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
27
