Jackson and Stechkin type inequalities of trigonometric approximation inAp;q()w;#

DOI10.3906/MAT-1712-84zbMath1424.42004OpenAlexW2952129593MaRDI QIDQ4633390

Ahmet Hamdi Avşar, Hüseyin Koç

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1712-84

zbMATH Keywords

modulus of smoothnesstrigonometric polynomialsMuckenhoupt weightdirect and inverse theorems

Mathematics Subject Classification ID

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

Related Items (2)

Exponential approximation in variable exponent Lebesgue spaces on the real line ⋮ EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT

Cites Work

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• Best approximations of periodic functions in generalized Lebesgue spaces
• Lebesgue and Sobolev spaces with variable exponents
• Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
• On the approximation by trigonometric polynomials in weighted Lorentz spaces
• Jackson-type inequality for doubling weights on the sphere
• Improved direct and converse theorems in weighted Lorentz spaces
• The maximal operator on weighted variable Lebesgue spaces
• Simultaneous and converse approximation theorems in weighted Lebesgue spaces
• The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces
• The inverse theorem of approximation theory in Smirnov-Orlicz classes
• Jackson-Stechkin type inequality in weighted Lorentz spaces
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• Gadjieva's conjecture, K -functionals, and some applications in weighted Lebesgue spaces
• Mixed modulus of smoothness with Muckenhoupt weights and approximation by angle
• Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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