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New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals

Abstract In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means… Click to show full abstract

Abstract In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals. More precisely, some Simpson-type inequalities are obtained using the well-known Hölder and Power mean inequalities. Furthermore, we also consider some special cases which can be deduced from the main results.

Keywords: simpson type; ordinated convex; generalized conformable; conformable integrals; convex function; type inequalities

Journal Title: Experimental Mathematics
Year Published: 2024

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