Averaging operators and the classes of starlike functions related to parabola

DOI10.1007/S13324-019-00351-5zbMath1433.30057OpenAlexW2998288054MaRDI QIDQ2285026

Agnieszka Wisniowska-Wajnryb, Janusz Sokół

Publication date: 15 January 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-019-00351-5

zbMATH Keywords

convex functionsstar-like functionsaveraging integral operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (1)

Convolution properties of meromorphically harmonic functions defined by a generalized convolution \(q\)-derivative operator

Cites Work

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• On the integral convolution of certain classes of analytic functions
• Some extremal bounds for subclasses of univalent functions
• Conic regions and \(k\)-uniform convexity
• Geometric properties of subclasses of starlike functions
• Averaging operators and a generalized Robinson differential inequality
• Uniformly convex functions
• Uniformly convex functions II
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Linear operators associated withk-uniformly convex functions
• On uniform starlikeness and related properties of univalent functions
• On uniformly convex functions

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