Exact constants in theorems on the boundedness of singular operators

1992 ◽  
pp. 199-222
Author(s):  
Israel Gohberg ◽  
Naum Krupnik
Keyword(s):  
Singular Operators ◽  
Exact Constants

The Rearrangement Inequality for the Ergodic Maximal Function

2001 ◽  
Vol 8 (4) ◽  
pp. 727-732
Author(s):  
L. Ephremidze
Keyword(s):  
Maximal Function ◽  
Rearrangement Inequality ◽  
Decreasing Rearrangement ◽  
Exact Constants

Abstract The equivalence of the decreasing rearrangement of the ergodic maximal function and the maximal function of the decreasing rearrangement is proved. Exact constants are obtained in the corresponding inequalities.

scholarly journals On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Arnak Poghosyan
Keyword(s):  
Trigonometric Polynomial ◽  
Numerical Experiments ◽  
Polynomial Interpolation ◽  
Convergence Acceleration ◽  
Fast Convergence ◽  
Exact Constants

We consider the convergence acceleration of the Krylov-Lanczos interpolation by rational correction functions and investigate convergence of the resultant parametric rational-trigonometric-polynomial interpolation. Exact constants of asymptotic errors are obtained in the regions away from discontinuities, and fast convergence of the rational-trigonometric-polynomial interpolation compared to the Krylov-Lanczos interpolation is observed. Results of numerical experiments confirm theoretical estimates and show how the parameters of the interpolations can be determined in practice.

scholarly journals $L^p$-estimates for mixed singular operators

1999 ◽  
Vol 84 (2) ◽  
pp. 195
Author(s):  
Andreas Nilsson
Keyword(s):  
Singular Operators

scholarly journals UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS

Cubo (Temuco) ◽  
2013 ◽  
Vol 15 (2) ◽  
pp. 01-20
Author(s):  
George A Anastassiou ◽  
Razvan A Mezei
Keyword(s):  
Uniform Convergence ◽  
Singular Operators
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