Simpson’s Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus

Simpson’s Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus

In the present paper, we aim to prove a new lemma and quantum Simpson’s type inequalities for functions of two variables having convexity on co-ordinates over <inline-formula> <math display="inline"> <semantics> <mrow> <mo>[</mo> <mi>&...

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Bibliographic Details
Main Authors:	Humaira Kalsoom, Jun-De Wu, Sabir Hussain, Muhammad Amer Latif
Format:	Article
Language:	English
Published:	MDPI AG 2019-06-01
Series:	Symmetry
Subjects:	quantum calculus simpson’s type inequality quantum simpson’s type inequality on co-ordinates <i>q</i><sub>1</sub><i>q</i><sub>2</sub>-partial derivatives <i>q</i><sub>1</sub><i>q</i><sub>2</sub>–Hölder’s inequality co-ordinated convexity
Online Access:	https://www.mdpi.com/2073-8994/11/6/768

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Summary:	In the present paper, we aim to prove a new lemma and quantum Simpson’s type inequalities for functions of two variables having convexity on co-ordinates over <inline-formula> <math display="inline"> <semantics> <mrow> <mo>[</mo> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo>]</mo> <mo>×</mo> <mo>[</mo> <mi>ψ</mi> <mo>,</mo> <mi>ϕ</mi> <mo>]</mo> </mrow> </semantics> </math> </inline-formula>. Moreover, our deduction introduce new direction as well as validate the previous results.
ISSN:	2073-8994