Researches in Mathematics

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Home > Archives > Vol 33, No 2 (2025)

DOI: https://doi.org/10.15421/24253302

Table of Contents

Preamble

PDF 1-2

Articles

In memoriam: Professor Vitalii Pavlovych Motornyi (1940 – 2025)

PDF (Українська) 3-5

The Taikov type inequalities in rigged Hilbert spaces V. Babenko, Yu. Babenko, N. Kriachko, D. Skorokhodov

PDF 6-18

Inequalities for $$$\Lambda$$$-derivatives of functions defined on a metric space and some of their applications V. Babenko, V. Kolesnyk, O. Kovalenko, N. Parfinovych

PDF 19-31

On the growth of gap power series of homogeneous polynomials A.I. Bandura, M.M. Dolynyuk, O.B. Skaskiv

PDF 32-39

Best weighted approximation of some kernels on the real axis S.O. Chaichenko, V.V. Savchuk, A.L. Shydlich

PDF 40-51

Error bounds for numerical differentiation using kernels of finite smoothness O.V. Davydov

PDF 52-64

On the analytical continuation of the ratio $$$H_4(\alpha,\delta+1;\gamma,\delta;-\mathbf{z})/H_4(\alpha,\delta+2;\gamma,\delta+1;-\mathbf{z})$$$ R. Dmytryshyn, C. Cesarano, I.-A. Lutsiv

PDF 65-76

Boyanov-Naydenov problem and Kolmogorov type inequalities for positive (negative) parts of functions V.A. Kofanov

PDF 77-91

A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions Kh.Yo. Kuchminska, R.M. Deyneka

PDF 92-98

Equivalence between various Shape Preserving Approximations of periodic functions D. Leviatan, O.V. Motorna, I.O. Shevchuk

PDF 99-107

The homotopy groups $$$\pi_k(\Omega_n(m))$$$, $$$k=1,...,n$$$ A.M. Pasko

PDF 108-110

The best $$$m$$$-term trigonometric approximations of the classes of periodic multivariate functions of mixed smoothness K.V. Pozharska, A.S. Romanyuk

PDF 111-127

Estimates of deviations of Fourier sums on Weyl-Nagy classes $$$W^r_{\beta,1}$$$ A.S. Serdyuk, I.V. Sokolenko

PDF 128-138

The best linear approximation methods for classes of functions analytic in a disk and exact values of their $$$n$$$-widths S.B. Vakarchuk, M.B. Vakarchuk

PDF 139-158