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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 232, Pages 289–297 (Mi tm220)  
This article is cited in 1 scientific paper (total in 1 paper)

Direct and Inverse Theorems of Approximation Theory for the $m$th Generalized Modulus of Smoothness

M. K. Potapov
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Abstract: The relation between polynomial approximations of functions and their generalized $m$th moduli of smoothness defined with the use of a two-parameter family of nonsymmetric generalized translation operators is examined.
Received in June 2000
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, “Direct and Inverse Theorems of Approximation Theory for the $m$th Generalized Modulus of Smoothness”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 289–297; Proc. Steklov Inst. Math., 232 (2001), 281–289
Citation in format AMSBIB
\Bibitem{Pot01}
\by M.~K.~Potapov
\paper Direct and Inverse Theorems of Approximation Theory for the $m$th Generalized Modulus of Smoothness
\inbook Function spaces, harmonic analysis, and differential equations
\bookinfo Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 232
\pages 289--297
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1851456}
\zmath{https://zbmath.org/?q=an:0993.41006}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 232
\pages 281--289
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    • This publication is cited in the following 1 articles:
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