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
Related Articles
- EP ID EP651887
- DOI 10.24297/jam.v14i2.7573
- Views 175
- Downloads 0
On the Extended Hardy Transformation of Generalized Functions
The classical Hardy transformation is extended to a certain class of generalized functions namely ultradistributions. The derivative of the extended Hardy transformation is obtained.
Maximum likelihood Estimation for Stochastic Differential Equations with two Random Effects in the Diffusion Coefficient
We study n independent stochastic processes(xi (t),tiЄ[o,t1 ],i=1,......n) defined by a stochastic differential equation with diffusion coefficients depending nonlinearly on a random variables and ...
Estimation of the Optimal Regularization Parameters in Optimal Control Problems with time delay
In this paper we use the L-curve method and the Morozov discrepancy principle for the estimation of the regularization parameter in the regularization of time-delayed optimal control computation. Zeroth order, first orde...
Some extensions Hardy integral inequalities and their analogues on finite interval
The aim of this paper is to give some extensions Hardy integral inequalities for sum and product of several functions and their analogues inequalities on finite interval. Some direct consequences are established. Also a...
Additive Lie derivations on the algebras of locally measurable operators
Let M be a von Neumann algebra without central summands of type I . We are studying conditions that an additive map L on the algebra of locally measurable operators has the standard form, that is equal to the sum of an a...