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On mean approximation of function and its derivatives

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 56

Authors: V.P. Motornyi

Pointwise estimates of the best one-sided approximations of classes $$$W^r_{\infty}$$$ for $$$0 < r < 1$$$

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 62

Authors: A.M. Pas'ko, V.D. Stefura

The criterion of the best approximant for the multivariable functions in the space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 89

Authors: V.M. Traktyns'ka, M.Ye. Tkachenko, D.O. Osennikova

The best polynomial approximations of some classes of analytic functions in the Hardy spaces

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 8

Authors: S.B. Vakarchuk, V.I. Zabutna, M.B. Vakarchuk

Journal Issue published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1

Grygorіj Oleksіjovych Gruzintsev: the man, the mathematician, the philosopher

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 3

Authors: M.B. Vakarchuk, M.Ye. Tkachenko

On interpolation of operators of weak type $$$(\phi_0, \psi_0, \phi_1, \psi_1)$$$ in Lorentz spaces in borderline cases

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 68

Authors: B.I. Peleshenko, T.N. Semirenko

On one property of zeros of polynomials of the least $$$(\alpha; \beta)$$$-deviation from zero in weighted space $$$L_p$$$

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 79

Authors: O.V. Polyakov

On the convergence of multidimensional regular C-fractions with independent variables

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 18

Authors: R.I. Dmytryshyn

Inequalities of various metrics for the norms $$$\|x\|_{p,\delta} = \sup \bigl\{ \| x \|_{L_p[a,b]} \colon a,b\in \mathbb{R}, b-a\leqslant \delta \bigr\}$$$ of differentiable functions on the real domain

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 48

Authors: V.A. Kofanov

Bojanov-Naidenov problem for positive (negative) parts of differentiable functions on the real domain

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 25

Authors: V.V. Kameneva, V.A. Kofanov

Lower estimates on the saturation order of approximation of twice continuously differentiable functions by piecewise constants on convex partitions

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 37

Authors: O.V. Kozynenko

The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions

Journal Article published 25 Jun 2018 in Dnipro University Mathematics Bulletin volume 26 issue 1 on page 82

Authors: D. Skorokhodov