scholarly journals Adaptive measuring system with dynamic error estimation of the second-order sensor

2021 ◽  
Vol 18 ◽  
pp. 100142
Author(s):  
Andrei S. Volosnikov
Keyword(s):  
Error Estimation ◽  
Dynamic Error ◽  
Second Order ◽  
Measuring System

scholarly journals Dunkl Generalization of Phillips Operators and Approximation in Weighted Spaces

2020 ◽  
Author(s):  
M. Mursaleen ◽  
Md Nasiruzzaman ◽  
Adem Kilicman ◽  
Siti Hasana Sapar
Keyword(s):  
Rate Of Convergence ◽  
Error Estimation ◽  
Modulus Of Continuity ◽  
Second Order ◽  
Maximal Functions ◽  
Weighted Spaces ◽  
Phillips Operators ◽  
Convergence Results

Purpose of this article is to introduce a modification of Phillips operators on the interval $\left[ \frac{1}{2},\infty \right) $ via Dunkl generalization. This type of modification enables a better error estimation on the interval $\left[ \frac{1}{2},\infty \right) $ rather than the classical Dunkl Phillips operators on $\left[ 0,\infty \right) $. We discuss the convergence results and obtain the degrees of approximations. Furthermore, we calculate the rate of convergence by means of modulus of continuity, Lipschitz type maximal functions, Peetre's $K$-functional and second order modulus of continuity.

Second-order defeaturing error estimation for multiple boundary features

2014 ◽  
Vol 100 (5) ◽  
pp. 321-346 ◽  
Author(s):  
Ming Li ◽  
Bo Zhang ◽  
Ralph R. Martin
Keyword(s):  
Error Estimation ◽  
Second Order

Design optimization of a cable-based parallel tracking system by using evolutionary algorithms

Robotica ◽  
2014 ◽  
Vol 33 (3) ◽  
pp. 599-610 ◽  
Author(s):  
Eusebio E. Hernandez ◽  
S.-I. Valdez ◽  
M. Ceccarelli ◽  
A. Hernandez ◽  
S. Botello
Keyword(s):  
Error Estimation ◽  
Optimization Design ◽  
Optimization Problem ◽  
Tracking System ◽  
Optimization Techniques ◽  
Measuring System ◽  
Optimal Solutions ◽  
Structural Configuration ◽  
Estimation Of Distribution ◽  
Optimization Methodology

SUMMARYIn this paper, an optimization design of a 6 DOF parallel measuring system is analyzed. First, a closed form direct kinematics formulation based on Cayley–Menger determinants is considered in the objective function, in order to measure the manipulator singularities, then an estimation of distribution algorithm is proposed to solve the optimization problem. It is shown that the evolutionary algorithm can find close to optimal solutions for minimum pose error estimation. Additionally, these global optimizers significantly reduce the computational burden in comparison with exhaustive search and other global optimization techniques. The sensitivity of the pose error estimation in the prescribed robots' workspace is analyzed and used to guide a designer in choosing the best structural configuration. Numerical examples are discussed to show the feasibility of the proposed optimization methodology.

scholarly journals On Simultaneous Approximation of Modified Baskakov-Durrmeyer Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Prashantkumar G. Patel ◽  
Vishnu Narayan Mishra
Keyword(s):  
Asymptotic Formula ◽  
Error Estimation ◽  
Pointwise Convergence ◽  
Simultaneous Approximation ◽  
Second Order ◽  
Durrmeyer Operators

We discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter γ>0. We compute the moments of these modified operators. Also, we establish pointwise convergence, Voronovskaja type asymptotic formula, and an error estimation in terms of second order modification of continuity of the function for the operators Bn,γα,β(f,x).

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