ON SOME INEQUALITIES RELATED TO OPEN NEWTON-COTES FORMULAS FOR DIFFERENTIABLE CONVEX FUNCTIONS WITH APPLICATIONS
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, first, we prove a novel integral identity involving a single time-differentiable function. Then, we prove some new inequalities associated with one of the open Newton-Cotes formulas for differentiable convex functions. The newly established inequalities can be helpful in finding the error bounds of one of the open Newton-Cotes formulas. Finally, some applications of the inequalities are also presented in the context of open Newton-Cotes formulas.
Açıklama
Anahtar Kelimeler
open Newton-Cotes formulas, convex functions, integral inequalities
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
26
Sayı
1
