On Some Cauchy Problems and Positive Linear Operators
Abstract Durrmeyer type modifications of the Szász–Mirakjan operators were studied in several papers. We consider a general family of such operators. Basically, we investigate the relationship between the images of a function f under the operators and the solutions of a suitable linear and homogeneous partial differential equation of parabolic type with f as initial value.
Authors
- Ulrich Abel (ORCID: https://orcid.org/0000-0003-1889-4850)
- Margareta Heilmann (ORCID: https://orcid.org/0000-0002-1283-7444)
- Ioan Raşa (ORCID: https://orcid.org/0000-0002-5206-030X)
- Ana Maria Acu (ORCID: https://orcid.org/0000-0003-1192-2281)
Institutions
- Lucian Blaga University of Sibiu (RO)
- Technical University of Cluj-Napoca (RO)
- University of Wuppertal (DE)
- Technische Hochschule Mittelhessen (DE)
Publication Details
- Journal
- Mediterranean Journal of Mathematics
- Published
- 2024-12-30
- DOI
- https://doi.org/10.1007/s00009-024-02778-y
- Citations
- 5
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 4.88
Funders
- Bergische Universität Wuppertal
- Universitatea "Lucian Blaga" din Sibiu
- Universitatea Tehnică din Cluj-Napoca
- Hasso Plattner Foundation