On generalizations of quantum Simpson's and quantum Newton's inequalities with some parameters

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Küçük Resim

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

Künye