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Quantitative estimates for Jain-Kantorovich operators
Author(s) -
Emre Deni̇z
Publication year - 2016
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000764
Subject(s) - generalization , mathematics , poisson distribution , operator (biology) , type (biology) , pure mathematics , mathematical analysis , combinatorics , statistics , chemistry , ecology , biochemistry , repressor , biology , transcription factor , gene
By using given arbitrary sequences,property that limn 1nn= 0and limn 1 n= 0, we give a Kantorovichtype generalization of Jain operator based on the a Poisson disrtibition. Fristlywe give the quantitative Voronovskaya type theorem. Then we also obtain theGruss Voronovskaya type theorem in quantitative form .We show that theyhave an arbitrary good order of weighted approximation

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