Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus

Author:

Siricharuanun Pimchana,Erden SametORCID,Ali Muhammad AamirORCID,Budak HüseyinORCID,Chasreechai Saowaluck,Sitthiwirattham ThaninORCID

Abstract

In this paper, using the notions of qκ2-quantum integral and qκ2-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference41 articles.

1. On Simpson's inequality and applications

2. New inequalities of Simpson’s type for s-convex functions with applications;Alomari;RGMIA Res. Rep. Coll.,2009

3. On new inequalities of Simpson’s type for s-convex functions

4. Some Newton’s type inequalities for harmonic convex functions;Noor;J. Adv. Stud.,2016

5. Newton inequalities for p-harmonic convex functions;Noor;Honam Math. J.,2018

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