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Approximation of functions from Lp(w)b by matrix means of their Fourier series
Rate of approximation summability of Fourier series Lipschitz classes
2012/4/16
We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, wher...
Strong approximation of almost periodic functions
Almost periodic functions Rate of strong approxima-tion Summability of Fourier series
2012/4/16
We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of almost periodic func...
Pointwise strong approximation of almost periodic functions
Almost periodic functions Rate of strong approximation Summability of Fourier series
2012/4/16
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
On the rate of convergence of weak Euler approximation for non-degenerate SDEs
L´ evy processes stochastic differential equations
2010/12/10
The paper estimates the rate of convergence of the weak Euler approximation for solutions to SDEs driven by point and martingale measures, with H¨older continuous coefficients. The equation considered...
Diffeomorphic approximation of Sobolev homeomorphisms
Approximation Sobolev homeomorphism di eomorphism p-harmonic
2010/11/26
Every homeomorphism h: X ! Y between planar open sets that belongs to the Sobolev class W 1;p(X;Y), 1 < p < 1, can be approximated in the Sobolev norm by C1-smooth di eomorphisms.
Stability and preconditioning for a hybrid approximation on the sphere
radial basis functions approximation on the sphere
2010/12/9
This paper proposes a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere, an approximation scheme that combines (loca...