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Jensen-type inequalities for m-convex functions

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URI: https://hdl.handle.net/10016/36091
ISSN: 2391-5455
DOI: https://doi.org/10.1515/math-2022-0061
UXXI: AR/0000030939
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jensen_OM_2022.pdf (245.62 KB)
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2022-09-06
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De Gruyter
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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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Jensen-type inequalities, Convex functions, M-convex functions, Fractional derivatives and integrals, Fractional integral inequalitie
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Bosch, Paul, et al. Jensen-type inequalities for m-convex functions. In: Open mathematics, 20(1), Sept. 2022, Pp. 946-958
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