Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q)(σm)

DOI10.1007/S11253-007-0065-5zbMath1150.41009OpenAlexW2047189654MaRDI QIDQ3505436

R. A. Lasuriya

Publication date: 18 June 2008

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

Full work available at URL: https://doi.org/10.1007/s11253-007-0065-5

zbMATH Keywords

best approximationmoduli of continuityinverse theorem

Mathematics Subject Classification ID

Inverse theorems in approximation theory (41A27)

Related Items (6)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\) ⋮ On quantities of the type of modulus of continuity and analogs of \(K\)-functionals in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Discrete Fourier-Laplace transforms of Lipschitz functions in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Inverse approximation theorems in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\)

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