The Bohr Inequality for the Generalized Cesáro Averaging Operators

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作者
Ilgiz R. Kayumov
Diana M. Khammatova
Saminathan Ponnusamy
机构
[1] Kazan Federal University,Scientific and Educational Mathematical Center of the Volga Federal District
[2] Indian Institute of Technology Madras,Department of Mathematics
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关键词
Bohr inequality; Bohr radius; convolution; Gaussian hypergeometric functions; generalized Cesáro operators; Primary 30A10; 30B10; 30C62; 30H05; 31A05; 41A58 Secondary 30C75; 40A30;
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摘要
The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Cesáro operator.
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