Piece-wise linear approximation of functions of two variables

1997 ◽  
Vol 2 (4) ◽  
pp. 313-320 ◽  
Author(s):  
Djangir A. Babayev
Keyword(s):  
Linear Approximation ◽  
Approximation Of Functions ◽  
Functions Of Two Variables

scholarly journals Approximation of functions of two variables by certain linear positive operators

2007 ◽  
Vol 117 (3) ◽  
pp. 387-399 ◽  
Author(s):  
Fatma Taşdelen ◽  
Ali Olgun ◽  
Gülen Başcanbaz-Tunca
Keyword(s):  
Positive Operators ◽  
Approximation Of Functions ◽  
Linear Positive Operators ◽  
Functions Of Two Variables

The Finite Elements for Design of Frame of Thin-Walled Beams

2014 ◽  
Vol 578-579 ◽  
pp. 858-863 ◽  
Author(s):  
Vladimir Lalin ◽  
Vladimir Rybakov ◽  
Alexander Sergey
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Linear Approximation ◽  
Torsional Angle ◽  
Warping Function ◽  
Approximation Of Functions ◽  
Development Cycle ◽  
Independent Functions ◽  
Thin Walled ◽  
Mutually Independent

Recent years there have been observed a wide application of a metalware in industrial and civil engineering. Special place in the building industry is belonged to light steel thin-walled constructions having a lot of technological advantages. In the article the first development cycle of a numerical method creating is considered – creating of the stiffness matrixes of thin-walled finite elements of various types using the semisheared theory (by V.I.Slivker) – depending on a way of approximation of functions of deformations (torsion and warping): 1. Linear approximation of torsional functions with a 2-central finite element having 4 transitions; 2. Quadratic approximation of torsional functions and linear approximation of warping function with a 3-central finite element having 5 transitions; 3. Cubical approximation of functions of torsional and warping functions with a 3-central finite element having 6 transitions. Thus deformation functions (torsional angle and warping) are approximated as mutually independent functions.

Uniform Approximation of Functions of Two Variables

2017 ◽  
Vol 53 (3) ◽  
pp. 426-431 ◽  
Author(s):  
P. S. Malachivskyy ◽  
Ya. N. Matviychuk ◽  
Ya. V. Pizyur ◽  
R. P. Malachivskyi
Keyword(s):  
Uniform Approximation ◽  
Approximation Of Functions ◽  
Functions Of Two Variables
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