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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