Jensen-type inequalities for m -convex functions
Abstract: Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the 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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Jensen-type inequalities for m -convex functions ; volume:20 ; number:1 ; year:2022 ; pages:946-958 ; extent:13
Open mathematics ; 20, Heft 1 (2022), 946-958 (gesamt 13)
- Creator
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Bosch, Paul
Quintana, Yamilet
Rodríguez, José M.
Sigarreta, José M.
- DOI
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10.1515/math-2022-0061
- URN
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urn:nbn:de:101:1-2022090714071424882656
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 15.08.2025, 7:20 AM CEST
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Associated
- Bosch, Paul
- Quintana, Yamilet
- Rodríguez, José M.
- Sigarreta, José M.
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