A direct theorem on approximation ?by angle? in the spaces Lp, 0 < p < 1

1992 ◽  
Vol 52 (5) ◽  
pp. 1140-1142
Author(s):  
K. V. Runovskii
Keyword(s):  
Direct Theorem

A Direct Theorem for MKZ-Kantorovich Operator

2018 ◽  
Vol 45 (1) ◽  
pp. 25-38 ◽  
Author(s):  
I. Gadjev
Keyword(s):  
Direct Theorem

scholarly journals Some inequalities of trigonometric approximation in weighted Orlicz spaces

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
Ramazan Akgün
Keyword(s):  
Orlicz Spaces ◽  
Trigonometric Approximation ◽  
Inverse Theorem ◽  
Direct Theorem

AbstractIn the present work, we proved a refined direct theorem and an exact inverse theorem of trigonometric approximation in Orlicz spaces with weights satisfying some Muckenhoupt’s

Direct Theorem about Approximation on a Family of Two Segments

2004 ◽  
Vol 120 (2) ◽  
pp. 1117-1121
Author(s):  
K. G. Mezhevich ◽  
N. A. Shirokov
Keyword(s):  
Direct Theorem

scholarly journals On the direct theorem of saturation

1971 ◽  
Vol 23 (3) ◽  
pp. 363-370 ◽  
Author(s):  
Ronald A. DeVore
Keyword(s):  
Direct Theorem

scholarly journals Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Jianjun Wang ◽  
Chan-Yun Yang ◽  
Shukai Duan
Keyword(s):  
Equivalence Relation ◽  
Weak Type ◽  
Approximation Order ◽  
Modulus Of Smoothness ◽  
Inverse Theorem ◽  
Direct Theorem ◽  
Durrmeyer Operators ◽  
Jacobi Weights

Using the equivalence relation betweenK-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex. The obtained results not only generalize the corresponding ones for Bernstein-Durrmeyer operators, but also give approximation order of Bernstein-Durrmeyer operators.

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