Open AccessDifferences of Positive Linear Operators on Simplices
Author(s) -
Ana Maria Acu,
Gülen BaşcanbazTunca,
Ioan Raşa
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/5531577
Subject(s) - simplex , smoothness , linear operators , moduli , mathematics , operator theory , pure mathematics , algebra over a field , discrete mathematics , combinatorics , mathematical analysis , physics , quantum mechanics , bounded function
The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K -functionals. Several applications and examples illustrate the general results.
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