6533b7ddfe1ef96bd1274811

RESEARCH PRODUCT

Voronovskaya type results and operators fixing two functions

Ana Maria AcuAlexandra-ioana MăduţaIoan Rasa

subject

010101 applied mathematicsextended complete Chebyshev systemModeling and Simulation010102 general mathematicsQA1-939operators fixing two functionsVoronovskaya type theorem0101 mathematics01 natural sciencesAnalysisMathematicspositive linear operators

description

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.

yearjournalcountryeditionlanguage
2021-07-13Mathematical Modelling and Analysis
10.3846/mma.2021.13228http://journals.vgtu.lt/index.php/MMA/article/view/13228