Fractional order mixed difference operator and its applications in angular approximation
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Publication:5163720
DOI10.15672/HUJMS.569410zbMath1488.42001OpenAlexW3037194658MaRDI QIDQ5163720
Publication date: 8 November 2021
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.569410
difference operatorMuckenhoupt weightsLebesgue spacesmixed modulus of smoothnessangular trigonometric approximation
Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Simultaneous approximation (41A28) Inverse theorems in approximation theory (41A27)
Cites Work
- Approximating polynomials for functions of weighted Smirnov-Orlicz spaces
- Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
- Mixed K-functionals: A measure of smoothness for blending-type approximation
- Transformation of Fourier series using power and weakly oscillating sequences
- Improved inverse theorems in weighted Lebesgue and Smirnov spaces
- On the mean summability by Cesàro method of Fourier trigonometric series in two-weighted setting
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
- Mixed modulus of continuity in the Lebesgue spaces with Muckenhouptweights and their properties
- Mixed modulus of smoothness with Muckenhoupt weights and approximation by angle
- Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
- Realization and characterization of modulus of smoothness in weighted Lebesgue spaces
- Real Analysis
- Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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