A simple characterization of Wright-convexity and applications
In this work we present simple characterizations of W-convex and W-log-convex functions. As applications, we give short proofs for integral forms of Hermite-Hadamard or Levin-Steckin inequalities. We also give a characterization theorem for inner product spaces as normed spaces satisfying a certain property.
Authors
- Mihai Monea (ORCID: https://orcid.org/0000-0003-2278-4224)
- Dan Ştefan Marinescu (ORCID: https://orcid.org/0000-0001-9066-2558)
- Cristinel Mortici (ORCID: https://orcid.org/0000-0001-5576-1921)
Institutions
- Valahia University of Targoviste (RO)
- Institutul de Cercetari Electrotehnice (RO)
- Romanian Waters National Administration (RO)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2508737d
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00