RT Journal Article
T1 Jensen-type inequalities for m-convex functions
A1 Bosch, Paul
A1 Quintana, Yamilet
A1 Rodríguez García, José Manuel
A1 Sigarreta Almira, José María
AB 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.
PB De Gruyter
SN 2391-5455
YR 2022
FD 2022-09-06
LK https://hdl.handle.net/10016/36091
UL https://hdl.handle.net/10016/36091
LA eng
NO 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).
DS e-Archivo
RD 1 sept. 2024