Jensen-type inequalities for m-convex functions

Bosch, Paul; Quintana, Yamilet; Rodríguez García, José Manuel; Sigarreta Almira, José María

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Jensen-type inequalities for m-convex functions

Author(s): Bosch, Paul; Quintana, Yamilet; Rodríguez García, José Manuel; Sigarreta Almira, José María

Publisher: De Gruyter

Issued date: 2022-09-06

Citation: Bosch, Paul, et al. Jensen-type inequalities for m-convex functions. In: Open mathematics, 20(1), Sept. 2022, Pp. 946-958

ISSN: 2391-5455

DOI: https://doi.org/10.1515/math-2022-0061

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Universidad Carlos III de Madrid
Agencia Estatal de Investigación (España)

Sponsor: The research of Yamilet Quintana, José M. Rodríguez, and José M. Sigarreta is supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00/AEI/10.13039/501100011033), Spain. The research of Yamilet Quintana and José M. Rodríguez is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23) and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).

Project: Gobierno de España. PID2019-106433GB-I00

Keywords: Jensen-type inequalities , Convex functions , M-convex functions , Fractional derivatives and integrals , Fractional integral inequalitie

URI: http://hdl.handle.net/10016/36091

Rights: © 2022 Paul Bosch et al., published by De Gruyter
This work is licensed under the Creative Commons Attribution 4.0 International License
Atribución 3.0 España

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 [+]

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