An improved Jackson inequality for the best trigonometric approximation

DOI10.1007/S11253-014-0863-5zbMath1327.42002OpenAlexW2041741692MaRDI QIDQ893151

Borislav R. Draganov

Publication date: 13 November 2015

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

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165630

zbMATH Keywords

Jackson inequalitytrigonometric polynomialsmoduli of smoothnessbest trigonometric approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• On estimating the rate of best trigonometric approximation by a modulus of smoothness
• Certain linear differential operators and generalized differences
• The Jackson-Stechkin inequality in \(L^2\) with trigonometric modulus of continuity
• Sharp Jackson inequalities
• Sharp Marchaud and converse inequalities in Orlicz spaces
• On the Marchaud-Type Inequality
• A modulus of smoothness on the unit sphere
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