Open AccessVORONOVSKAYA TYPE RESULTS AND OPERATORS FIXING TWO FUNCTIONS
Author(s) -
Ana Maria Acu,
Alexandra-Ioana Măduţa,
Ioan Raşa
Publication year - 2021
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2021.13228
Subject(s) - mathematics , sequence (biology) , linear operators , type (biology) , pure mathematics , section (typography) , chebyshev filter , construct (python library) , operator theory , discrete mathematics , mathematical analysis , computer science , ecology , genetics , bounded function , biology , programming language , operating system
The present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (Ln) of positive linear operators to a new sequence (Kn) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extended Complete Chebyshev system is described. The Voronovskaya type formula corresponding to the new sequence which is strongly influenced by the nature of the fixed functions is obtained. In the last section our results are compared with other results existing in literature.