Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\)

DOI10.1134/S0001434615090278zbMath1339.41023MaRDI QIDQ276679

R. A. Lasuriya

Publication date: 4 May 2016

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

zbMATH Keywords

modulus of continuityGegenbauer polynomialJackson-type inequalityapproximation of functionsBernstein-Stechkin-Timan-type inequalityFourier-Laplace sumParseval's equalitythe spaces \(S^{(p,q)}(\sigma^m)\)

Mathematics Subject Classification ID

Inverse theorems in approximation theory (41A27) Harmonic analysis and PDEs (42B37)

Related Items (4)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ On quantities of the type of modulus of continuity and analogs of \(K\)-functionals 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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• On Jackson-Type Inequalities for Functions Defined on a Sphere
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