Work

On Some Cauchy Problems and Positive Linear Operators

Year: 2024

Type: article

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.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-024-02778-y

Authors: Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Raşa

Institutions: Technische Hochschule Mittelhessen, Lucian Blaga University of Sibiu, University of Wuppertal, Technical University of Cluj-Napoca

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Bergische Universität Wuppertal, Universitatea "Lucian Blaga" din Sibiu, Universitatea Tehnică din Cluj-Napoca, Hasso Plattner Foundation