Publication: Jensen-type inequalities for m-convex functions
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Publication date
2022-09-06
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De Gruyter
Abstract
Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations. In this work we prove some new Jensen-type inequalities for m-convex functions, and apply them to generalized Riemann-Liouville-type integral operators. Furthermore, as a remarkable consequence, some new inequalities for convex functions are obtained.
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Keywords
Jensen-type inequalities, Convex functions, M-convex functions, Fractional derivatives and integrals, Fractional integral inequalitie
Bibliographic citation
Bosch, Paul, et al. Jensen-type inequalities for m-convex functions. In: Open mathematics, 20(1), Sept. 2022, Pp. 946-958