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Estimates for wavelet coefficients on some classes of functions

- V. F. Babenko, S. Spector
- Mathematics
- 1 December 2007

Let ψmD be orthogonal Daubechies wavelets that have m zero moments and let {fx1791-01}. We prove that {fx1791-02}.

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Asymptotically sharp bounds for the remainder for the best quadrature formulas for several classes of functions

- V. F. Babenko
- Mathematics
- 1 March 1976

AbstractFor certain classes of functions (all functions are defined on a Jordan measurable set G) defined by a majorant on the modulus of continuity, we find an asymptotically sharp bound for the… Expand

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On the Optimal Recovery of Integrals of Set-Valued Functions

- V. F. Babenko, V. V. Babenko, M. Polishchuk
- Mathematics
- 4 March 2014

We consider the problem of optimization of the approximate integration of set-valued functions from the class specified by a given majorant of their moduli of continuity performed by using the values… Expand

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Faithful asymptotics of remainders optimal for some glasses of functions with cubic weight formulas

- V. F. Babenko
- Mathematics
- 1 October 1976

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Approximation of Some Classes of Set-Valued Periodic Functions by Generalized Trigonometric Polynomials

- V. F. Babenko, V. V. Babenko, M. Polishchuk
- Mathematics
- 27 April 2015

We generalize some known results on the best, best linear, and best one-sided approximations by trigonometric polynomials from the classes of 2π-periodic functions represented in the form of… Expand

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Widths and optimal quadrature formulas for convolution classes

- V. F. Babenko
- Mathematics
- 1 September 1991

We compute Kolmogorov widths in the space L1 for classes of periodic functions representable in the form of a kernel convolution that does not increase the number of sign changes with values in a… Expand

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The best L1-approximations by splines in the presence of restrictions on their derivatives

- V. F. Babenko
- Mathematics
- 1 May 1992

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The best L1-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

- V. F. Babenko, Leis Azar
- Mathematics
- 1 November 1998

For classes of periodic functions defined by constraints imposed on the L1-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we… Expand

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On optimization of weight quadrature formulas

- V. F. Babenko
- Mathematics
- 1 August 1995

We obtain asymptotically optimal quadrature formulas on the classHω[-1, 1] for an arbitrary continuous weight function which is positive on [-1, 1] almost everywhere and for a wide class of moduli of… Expand

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