Simpson and Newton type inequalities for convex functions via newly defined quantum integrals

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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

Künye