Approximation of General Form for a Sequence of Linear Positive Operators Based on Four Parameters
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2
Abstract
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.
Authors and Affiliations
Khalid Dhaman Abbod, Ali J. Mohammad
Keywords
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- EP ID EP651887
- DOI 10.24297/jam.v14i2.7573
- Views 196
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