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Publication:3836629
zbMath0942.41500MaRDI QIDQ3836629
Publication date: 8 December 1999
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Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)
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Approximation of periodic functions by modified Steklov averages in \(L_2\) ⋮ Some inequalities for trigonometric polynomials and Fourier coefficients ⋮ Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in spaces of functions defined on a segment ⋮ Inequalities of the type of the generalized Jackson theorem for the best approximations ⋮ Estimates for the best approximations of a periodic function by linear combinations of values of the function and its primitives ⋮ Estimates for functionals by deviations of the Riesz sums in seminormed spaces ⋮ Approximation of periodic functions by Steklov averages in \(L_{2}\) ⋮ Approximation estimates for convolution classes in terms of the second modulus of continuity ⋮ Estimates for the best approximations of periodic functions in terms of deviations ⋮ On approximation of periodic functions by Riesz sums ⋮ Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means ⋮ Comparison of deviations of generalized Steklov averages for functions in the spaces \(L_{2}(Q_{2})\) and \(C_{A}(Q_{2})\) ⋮ Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type ⋮ Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities ⋮ On constants in the generalized Jackson theorem
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