RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

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

 Mat. Zametki, 1977, Volume 22, Issue 5, Pages 711–728 (Mi mz8094) Order of growth of the degrees of a polynomial basis of a space of continuous functions

V. N. Temlyakov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: The problem under consideration is the one posed independently by C. Foias and I. Singer and by P. L. Ul'yanov concerning the minimal growth of the degrees $\nu_n$ of a polynomial basis $\{t_n(x)\}_0^\infty$ of a space of continuous functions. It is shown that there exist an absolute constant $C$ and a polynomial basis $\{t_n(x)\}_0^\infty$ such that
$$\nu_n\le C(n\ln^+\ln(n+1)+1),\quad n=0,1,2,…$$
The feasibility of the method employed is also considered. Full text: PDF file (1034 kB)

English version:
Mathematical Notes, 1977, 22:5, 888–898 Bibliographic databases: UDC: 517.5

Citation: V. N. Temlyakov, “Order of growth of the degrees of a polynomial basis of a space of continuous functions”, Mat. Zametki, 22:5 (1977), 711–728; Math. Notes, 22:5 (1977), 888–898 Citation in format AMSBIB
\Bibitem{Tem77} \by V.~N.~Temlyakov \paper Order of growth of the degrees of a~polynomial basis of a~space of continuous functions \jour Mat. Zametki \yr 1977 \vol 22 \issue 5 \pages 711--728 \mathnet{http://mi.mathnet.ru/mz8094} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=493295} \zmath{https://zbmath.org/?q=an:0373.46025} \transl \jour Math. Notes \yr 1977 \vol 22 \issue 5 \pages 888--898 \crossref{https://doi.org/10.1007/BF01098354} 

 SHARE: • Contact us: math-net2020_10 [at] mi-ras ru Terms of Use Registration Logotypes © Steklov Mathematical Institute RAS, 2020
{"ft_lang_label":"__label__en","ft_lang_prob":0.6430971,"math_prob":0.7405484,"size":1750,"snap":"2020-45-2020-50","text_gpt3_token_len":570,"char_repetition_ratio":0.09564719,"word_repetition_ratio":0.14410481,"special_character_ratio":0.33257142,"punctuation_ratio":0.2015915,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95454466,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-24T07:28:26Z\",\"WARC-Record-ID\":\"<urn:uuid:3c428ec5-3485-4472-bcd3-eaeabb88a2be>\",\"Content-Length\":\"26862\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:cb6cb94d-8276-4f69-949e-22d3941376ee>\",\"WARC-Concurrent-To\":\"<urn:uuid:18c3a60c-7df9-42e5-a13f-d617969edd6d>\",\"WARC-IP-Address\":\"185.129.147.141\",\"WARC-Target-URI\":\"http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=8094&option_lang=eng\",\"WARC-Payload-Digest\":\"sha1:EIMOHKW3FZGQPTS66GQPU3JNAOYB37WD\",\"WARC-Block-Digest\":\"sha1:CZOBLUWKTRLCYCSYVLSZHLBKL2QMQFH6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107882102.31_warc_CC-MAIN-20201024051926-20201024081926-00195.warc.gz\"}"}