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This article is cited in 47 scientific papers (total in 47 papers)
On approximation by families of linear polynomial operators in lP-spaces, 0<p<1
K. V. Runovskii T. H. Shevchenko Chernihiv State Pedagogical Institute
Abstract:
New applications are given for a method of approximation by families of linear polynomial operators in Lp-spaces with 0<p<1 that was developed by the author in previous papers. In particular, a direct theorem and an inverse theorem on approximation 'by angle' of trigonometric polynomials are proved in the case of higher-order moduli of smoothness.
Received: 27.09.1993
Citation:
K. V. Runovskii, “On approximation by families of linear polynomial operators in lP-spaces, 0<p<1”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 441–459
Linking options:
https://www.mathnet.ru/eng/sm919https://doi.org/10.1070/SM1995v082n02ABEH003574 https://www.mathnet.ru/eng/sm/v185/i8/p81
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Abstract page: | 810 | Russian version PDF: | 170 | English version PDF: | 30 | References: | 53 | First page: | 1 |
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