On generalizations of quantum Simpson's and quantum Newton's inequalities with some parameters
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new Simpson's and Newton's type inequalities for quantum differentiable convex functions with two and three parameters, respectively. We also look at the special cases of our key findings and find some new and old Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities.
Açıklama
Anahtar Kelimeler
Simpson's inequalities, Newton's inequalities, quantum calculus, convex functions, Midpoint Type Inequalities, Integral-Inequalities, Convex
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
6
Sayı
12