A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions
Loading...
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Access Rights
info:eu-repo/semantics/openAccess
Abstract
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.
Description
Keywords
convex functions, Newton's inequalities, quantum calculus, Simpson's inequalities, Midpoint-Type Inequalities, Hermite-Hadamard Inequalities, Integral-Inequalities
Journal or Series
Mathematical Methods In The Applied Sciences
WoS Q Value
Q1
Scopus Q Value
Q1
