Some Properties of Asymptotic Functions and their Applications

DOI10.2307/2042783zbMath0411.26003OpenAlexW4251625099MaRDI QIDQ4198971

Ling-Yau Chan

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042783

zbMATH Keywords

interpolationpower seriestrigonometric seriesLipschitz conditionintegral inequalityDini derivativeasymptotic functionsR-0 varying functions

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Inequalities for sums, series and integrals (26D15) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

Generalized Lipschitz classes and asymptotic behavior of Fourier series ⋮ New results on slowly varying functions in the Zygmund sense

Cites Work

• Unnamed Item
• Theorems of asymptotic approximation
• Integrability conditions in periodic functions related to their Fourier transforms
• Fourier series with positive coefficients
• On the singular integrals, I
• Some properties of asymptotic functions
• Concerning the Generalization of the Young-Hausdorff Theorem and the Hardy-Littlewood Theorems on Fourier Constants
• AN OSCILLATION CRITERION FOR THE SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION
• On two-functional spaces
• On the Integrability of Power Series
• Regularly varying functions

This page was built for publication: Some Properties of Asymptotic Functions and their Applications