A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we prove two identities involving quantum derivatives, quantum integrals, and certain parameters. Using the newly proved identities, we prove new inequalities of Simpson's and Newton's type for quantum differentiable convex functions under certain assumptions. Moreover, we discuss the special cases of our main results and obtain some new and existing Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities.
Açıklama
Anahtar Kelimeler
convex functions, Newton's inequalities, quantum calculus, Simpson's inequalities, Midpoint-Type Inequalities, Hermite-Hadamard Inequalities, Integral-Inequalities
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
