A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions

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Date

2021

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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.

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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

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