Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness

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Published in:Mathematical Notes Vol. 111; no. 1-2; pp. 320 - 323
Main Authors: Runovskii, K. V., Laktionova, N. V.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.02.2022
Springer Nature B.V
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Mathematics
Mathematics and Statistics
Periodic functions
Short Communications
Smoothness
inverse theorem of approximation theory
Bernstein’s inequality
best approximation
generalized derivative
ISSN:0001-4346, 1067-9073, 1573-8876
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Author Runovskii, K. V.
Laktionova, N. V.
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Cites_doi 10.1007/BF01058314
10.1134/S0001434619090104
10.1070/SM2008v199n09ABEH003964
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Keywords inverse theorem of approximation theory
Bernstein’s inequality
best approximation
generalized derivative
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SimonovB. V.TikhonovS. Yu.Sb. Math.2008199913671407246685610.1070/SM2008v199n09ABEH003964
StechkinS. B.Izv. Akad. Nauk SSSR Ser. Mat.1951153219242
RunovskiiK. V.Math. Notes20191063412422401755810.1134/S0001434619090104
SteinE. M.WeissG.Introduction to Fourier Analysis on Euclidean Spaces1971Princeton, NJPrinceton Univ. Press0232.42007
StepanetsA. I.Ukr. Mat. Zh.19954791266127310.1007/BF01057519
RunovskiiK. V.Sb. Math.2021212223426410.1070/SM9136
BernsteinS. N.Soobshch. Kharkovsk. Mat. Obshch.191213249194
StepanetsA. I.Classification and Approximation of Periodic Functions1987KievNaukova Dumka0689.42002
TaberskiR.Aproksymacja funkcji wielomianami trygonometrycznymi1979PoznanWydawnyctwo Naukowe UAM0525.42002
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S. B. Stechkin (2360_CR3) 1951; 15
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References_xml – reference: KonyushkovA. A.Mat. Sb. (N. S.)195844(86)1538496074
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– reference: SteinE. M.WeissG.Introduction to Fourier Analysis on Euclidean Spaces1971Princeton, NJPrinceton Univ. Press0232.42007
– reference: BernsteinS. N.Soobshch. Kharkovsk. Mat. Obshch.191213249194
– reference: SimonovB. V.TikhonovS. Yu.Sb. Math.2008199913671407246685610.1070/SM2008v199n09ABEH003964
– reference: RunovskiiK. V.Math. Notes20191063412422401755810.1134/S0001434619090104
– reference: TaberskiR.Aproksymacja funkcji wielomianami trygonometrycznymi1979PoznanWydawnyctwo Naukowe UAM0525.42002
– volume: 44(86)
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639/766/189
639/766/530
639/766/747
Mathematics
Mathematics and Statistics
Periodic functions
Short Communications
Smoothness
Title Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness
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