Error Estimates Using Higher Modulus of Smoothness in Lp Spaces

2021 ◽  
pp. 147-158
Author(s):  
Anshul Srivastava ◽  
ShilpiBisht
Keyword(s):  
Error Estimates ◽  
Modulus Of Smoothness ◽  
Lp Spaces

scholarly journals A Kantorovich type integral modification of q-Bernstein-Schurer operators

Filomat ◽  
2018 ◽  
Vol 32 (4) ◽  
pp. 1335-1348
Author(s):  
Asha Gairolaa ◽  
Vishnu Mishra ◽  
Karunesh Singh
Keyword(s):  
Asymptotic Formula ◽  
Error Estimates ◽  
Modulus Of Smoothness ◽  
Rate Of Approximation ◽  
Integrable Functions ◽  
Type Integral

The q-Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined error estimates, |S*(?,?) n,p,q(f)(x) - f(x)| without using Schwarz?s inequality. Secondly, to obtain a generalized Voronovskaya type asymptotic formula. The rate of approximation in terms of modulus of smoothness are also established.

scholarly journals Spherical Approximation on Unit Sphere

2018 ◽  
Vol 26 (3) ◽  
pp. 61-68
Author(s):  
Eman Samir Bhaya ◽  
Ekhlas Annon Musa
Keyword(s):  
Unit Sphere ◽  
Best Approximation ◽  
Type Theorem ◽  
Modulus Of Smoothness ◽  
Central Problem ◽  
Spherical Approximation ◽  
Jackson Type ◽  
Approximation Of Functions ◽  
Lp Spaces ◽  
Jackson Type Theorem

In this paper we introduce a Jackson type theorem for functions in LP spaces on sphere And study on best approximation of  functions in  spaces defined on unit sphere. our central problem is to describe the approximation behavior of functions in    spaces for  by modulus of smoothness of functions.

scholarly journals Monotone Approximation by Quadratic Neural Network of Functions in Lp Spaces for p<1

2020 ◽  
pp. 870-874
Author(s):  
Hawraa Abbas Almurieb ◽  
Eman Samir Bhaya
Keyword(s):  
Neural Network ◽  
Monotone Function ◽  
Modulus Of Smoothness ◽  
Second Order ◽  
Quadratic Functions ◽  
Activation Functions ◽  
Approximation Rate ◽  
Monotone Approximation ◽  
Lp Spaces

Some researchers are interested in using the flexible and applicable properties of quadratic functions as activation functions for FNNs. We study the essential approximation rate of any Lebesgue-integrable monotone function by a neural network of quadratic activation functions. The simultaneous degree of essential approximation is also studied. Both estimates are proved to be within the second order of modulus of smoothness.

Systematic effects in observed parallaxes

1978 ◽  
Vol 48 ◽  
pp. 31-35
Author(s):  
R. B. Hanson
Keyword(s):  
Error Estimates ◽  
Zero Point ◽  
Absolute Zero ◽  
Apparent Magnitude ◽  
Coherent System ◽  
Preliminary Results ◽  
General Catalogue ◽  
Systematic Effects ◽  
New Evidence ◽  
Right Ascension

Several outstanding problems affecting the existing parallaxes should be resolved to form a coherent system for the new General Catalogue proposed by van Altena, as well as to improve luminosity calibrations and other parallax applications. Lutz has reviewed several of these problems, such as: (A) systematic differences between observatories, (B) external error estimates, (C) the absolute zero point, and (D) systematic observational effects (in right ascension, declination, apparent magnitude, etc.). Here we explore the use of cluster and spectroscopic parallaxes, and the distributions of observed parallaxes, to bring new evidence to bear on these classic problems. Several preliminary results have been obtained.

Sign in / Sign up

Export Citation Format

Share Document