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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...
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...
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.
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...
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.
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...

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