Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We first establish two new identities, based on the kernel functions with either two section or three sections, involving quantum integrals by using new definition of quantum derivative. Then, some new inequalities related to Simpson's 1/3 formula for convex mappings are provided. In addition, Newton type inequalities, for functions whose quantum derivatives in modulus or their powers are convex, are deduced. We also mention that the results in this work generalize inequalities given in earlier study.
Açıklama
Anahtar Kelimeler
convex function, quantum derivatives, quantum integral inequalities, Simpson inequality, Hermite-Hadamard Inequalities
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
44
Sayı
1
