<p>By using a certain hybrid-type convolution operator, we first introduce a new subclass of normalized analytic functions in the open unit disk. For members of this analytic function class, we then derive several properties and characteristics including (for example) the modified Hadamard products, Hölder’s inequalities and convolution properties as well as some closure properties under a general family of integral transforms.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Hölder’s inequalities for a class of analytic functions connected with a certain hybrid-type convolution operator

  • H. M. Srivastava,
  • Sheza M. El-Deeb

摘要

By using a certain hybrid-type convolution operator, we first introduce a new subclass of normalized analytic functions in the open unit disk. For members of this analytic function class, we then derive several properties and characteristics including (for example) the modified Hadamard products, Hölder’s inequalities and convolution properties as well as some closure properties under a general family of integral transforms.