Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Shidlich, A."'
Autor:
Serdyuk, Anatolii, Shidlich, Andrii
This review paper highlights the main aspects of the development of research related to the solution of extreme problems in the theory of approximation in the spaces ${\mathcal S}^p$ and $B{\mathcal S}^p$ of periodic and almost periodic summable func
Externí odkaz:
http://arxiv.org/abs/2407.04329
We calculated the exact value and found the polynomial of the best weighted polynomial approximation of the kernels of the form $\frac {A+Bx}{(x^2+\lambda^2)^2}$, where $A,B\in {\mathbb R}$, $\lambda>0$ in the mean-square metric.
Comment: in Ukr
Comment: in Ukr
Externí odkaz:
http://arxiv.org/abs/2310.13531
Approximative properties of the Taylor-Abel-Poisson linear summation me\-thod of Fourier series are considered for functions of several variables, periodic with respect to the hexagonal domain, in the integral metric. In particular, direct and invers
Externí odkaz:
http://arxiv.org/abs/2210.16793
In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic functions whose Fourier exponent sequences have a single limit point in infini
Externí odkaz:
http://arxiv.org/abs/2112.06664
Autor:
Serdyuk, Anatolii, Shidlich, Andrii
Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces $B{\mathcal S}^{p}$ of almost periodic functions in terms of the best approximations of functions and their generalized moduli of smoothness.
Externí odkaz:
http://arxiv.org/abs/2105.06796
This review paper presents the results, which cover the study of current problems of approximation theory in abstract linear spaces. Such research has been actively developed since the 2000s, based on the ideas and approaches initiated in the article
Externí odkaz:
http://arxiv.org/abs/2104.04252
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2024 529(2)
In the Musielak-Orlicz type spaces ${\mathcal S}_{\bf M}$, exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstei
Externí odkaz:
http://arxiv.org/abs/2006.09103
Exact Jackson-type inequalities are obtained in terms of best approximations and averaged values of generalized moduli of smoothness in the spaces ${\mathcal S}^p$. The values of Kolmogorov, Bernstein, linear, and projective widths in the spaces ${\m
Externí odkaz:
http://arxiv.org/abs/2005.05597
In Musilak-Orlicz type spaces ${\mathcal S}_{\bf M}$, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type in
Externí odkaz:
http://arxiv.org/abs/2004.09807