Open AccessApproximation of General Form for a Sequence of Linear Positive Operators Based on Four Parameters
Author(s) -
Khalid Dhaman Abbod,
Ali J. Mohammad
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i2.7573
Subject(s) - mathematics , sequence (biology) , generalization , baskakov operator , type (biology) , moment (physics) , convergence (economics) , order (exchange) , pure mathematics , operator theory , mathematical analysis , fourier integral operator , microlocal analysis , ecology , genetics , physics , finance , classical mechanics , economic growth , economics , biology
In the present paper, we define a generalization sequence of linear positive operators based on four parameters which is reduce to many other sequences of summation–integral older type operators of any weight function (Bernstein, Baskakov, Szász or Beta). Firstly, we find a recurrence relation of the -th order moment and study the convergence theorem for this generalization sequence. Secondly, we give a Voronovaskaja-type asymptotic formula for simultaneous approximation. Finally, we introduce some numerical examples to view the effect of the four parameters of this sequence.