Relationship between the best \(L_p\) approximations of splines by polynomials with estimates of the values of intermediate derivatives in Sobolev spaces

DOI10.1134/s0001434623090304MaRDI QIDQ6084919

I. A. Sheipak, T. A. Garmanova

Publication date: 7 November 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesbest approximations by polynomialsbounds for derivatives

Mathematics Subject Classification ID

Approximations and expansions (41Axx)

Cites Work

• Unnamed Item
• Sharp estimates for derivatives of functions in the Sobolev classes \(\overset{\circ} {W}_{2}^r (-1,1)\)
• Estimates of derivatives in Sobolev spaces in terms of hypergeometric functions
• Lp approximation of variational problems in L1 and L∞
• An explicit form for extremal functions in the embedding constant problem for Sobolev spaces

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