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Algebraic polynomial bases of space LP

✍ Scribed by Z. A. Chanturiya

Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
285 KB
Volume
23
Category
Article
ISSN
0001-4346

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We prove direct and inverse theorems for the classical modulus of smoothness and approximation by algebraic polynomials in \(L_{p}[-1,1]\). These theorems contain the well-known theorems of A. Timan, V. Dzyadyk, G. Freud, and Yu. Brudnyi as special cases when \(p=x\). They also provide a characteriz