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Volume 3, Issue 3, Article 42 |
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Some Generalized Convolution Properties Associated with Certain Subclasses of Analytic Functions
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Authors: |
Shigeyoshi Owa, Hari M. Srivastava, |
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Keywords:
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Analytic functions, Hadamard product (or convolution), Generalized convolution, Cauchy-Schwarz inequality, Hölder inequality, Inclusion theorems. |
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Date Received:
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05/03/02 |
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Date Accepted:
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06/04/02 |
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Subject Codes: |
30C45,26D15,30A10
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Editors: |
Gradimir V. Milovanovic, |
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Abstract: |
For functions belonging to each of the subclasses  and  of normalized analytic functions in open unit disk  which are introduced and investigated in this paper, the authors derive several properties involving their generalized convolution by applying certain techniques based especially upon the Cauchy-Schwarz and Hölder inequalities. A number of interesting consequences of these generalized convolution properties are also considered.
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