Abstract
Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and h-discrete calculus are also established.
Highlights
The theory of convexity plays a significant role in the development of inequalities
In spite of that the importance of inequalities containing convex functions is magnificent as it tackles numerous problems in various fields of mathematics at a substantial rate
The inequalities for n-convex functions have been generalized by numerous researchers
Summary
The theory of convexity plays a significant role in the development of inequalities. In spite of that the importance of inequalities containing convex functions is magnificent as it tackles numerous problems in various fields of mathematics at a substantial rate. In [19], Butt et al obtained useful identities via Taylor polynomial and generalized Popoviciu inequality for n-convex functions.
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