Degree of Convergence of Some Operators Associated with Hardy-Littlewood Series for Functions of Class Lip(α, p), p > 1

DOI10.1007/978-3-030-61887-2_9zbMath1479.42011OpenAlexW3139849459MaRDI QIDQ3384133

Manish Kumar, Tusharakanta Pradhan, Benjamin Landon, Ram N. Mohapatra

Publication date: 14 December 2021

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-61887-2_9

zbMATH Keywords

Hölder metricmeasure of convergence

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and divergence of series and sequences (40A05) Approximation by polynomials (41A10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Degree of approximation of functions in the Hölder metric
• On a problem of L. Leindler concerning strong approximation by Fourier series and Lipschitz classes
• Degree of approximation of functions associated with Hardy-Littlewood series in the Hölder metric by Borel means
• Degree of approximation of functions in the Hölder metric by \((e,c)\) means
• Approximation of functions on the real axis by Féjer-type operators in the generalized Hölder metric
• The summability of Fourier series by Karamata methods
• Best and near-best \(L_ 1\) approximations by Fourier series and Chebyshev series
• On the generalised Fejér means in the metric of Hölder space
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
• Degree of approximation of functions in the Hölder metric by Borel's means
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