Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
Loading...
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
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.
Description
Keywords
convex function, quantum derivatives, quantum integral inequalities, Simpson inequality, Hermite-Hadamard Inequalities
Journal or Series
Mathematical Methods In The Applied Sciences
WoS Q Value
Q1
Scopus Q Value
Q1
Volume
44
Issue
1
