V. I. Ivanov, “Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 5–17; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S1

Loading [MathJax]/jax/output/SVG/config.js

Trudy Instituta Matematiki i Mekhaniki UrO RAN

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 5–17 (Mi timm636)

This article is cited in 8 scientific papers (total in 8 papers)

Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems

V. I. Ivanov

Tula State University

Full-text PDF (199 kB) Citations (8)

References:

PDF

HTML

Abstract: S. B. Stechkin made a considerable contribution to an important aspect of approximation theory for periodic functions concerned with direct and inverse theorems. We present the history of development of this research area and pose new problems.

Keywords: best approximation, module of continuity, Jackson–Stechkin inequality, inverse inequality.

Received: 01.10.2010

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S1–S13
DOI: https://doi.org/10.1134/S0081543811050014

Bibliographic databases:

Document Type: Article

UDC: 517.5

Language: Russian

Citation: V. I. Ivanov, “Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 5–17; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S1–S13

Citation in format AMSBIB

\Bibitem{Iva10}

\by V.~I.~Ivanov

\paper Direct and inverse theorems in approximation theory for periodic functions in S.\,B.~Stechkins papers and the development of these theorems

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2010

\vol 16

\issue 4

\pages 5--17

\mathnet{http://mi.mathnet.ru/timm636}

\elib{https://elibrary.ru/item.asp?id=15318483}

\transl

\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2011

\vol 273

\issue , suppl. 1

\pages S1--S13

\crossref{https://doi.org/10.1134/S0081543811050014}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959197465}

Linking options:

https://www.mathnet.ru/eng/timm636

https://www.mathnet.ru/eng/timm/v16/i4/p5

This publication is cited in the following 8 articles:

G. A. Akishev, “Neravenstva dlya nailuchshego priblizheniya «uglom» i modulya gladkosti funktsii v prostranstve Lorentsa”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 230, VINITI RAN, M., 2023, 8–24
M. Sh. Shabozov, E. U. Kadamshoev, “Sharp Inequalities between the Best Root-Mean-Square Approximations of Analytic Functions in the Disk and Some Smoothness Characteristics in the Bergman Space”, Math. Notes, 110:2 (2021), 248–260
Yurii Kolomoitsev, Sergey Tikhonov, “Properties of moduli of smoothness inLp(Rd)”, Journal of Approximation Theory, 257 (2020), 105423
Gorbachev D.V., Ivanov V.I., Tikhonov S.Yu., “Positive l-P-Bounded Dunkl-Type Generalized Translation Operator and Its Applications”, Constr. Approx., 49:3 (2019), 555–605
D. V. Gorbachev, V. I. Ivanov, “Fractional Smoothness in $L^p$ with Dunkl Weight and Its Applications”, Math. Notes, 106:4 (2019), 537–561
Pietsch A., “Traces on Operator Ideals and Related Linear Forms on Sequence Ideals (Part Iv)”, Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics: the Albrecht Bottcher Anniversary Volume, Operator Theory Advances and Applications, 259, eds. Bini D., Ehrhardt T., Karlovich A., Spitkovsky I., Springer International Publishing Ag, 2017, 593–619
R. A. Veprintsev, “Otsenka snizu konstanty Dzheksona v prostranstvakh $L_p$ na sfere s vesom Danklya, svyazannym s gruppoi diedra”, Chebyshevskii sb., 16:3 (2015), 95–123
R. M. Trigub, “The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials”, Sb. Math., 204:12 (2013), 1819–1838

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Statistics & downloads:
Abstract page:	672
Full-text PDF :	517
References:	88
First page:	6

Что такое QR-код?

Registration to the website

Logotypes