Applications of Cauchy-Schwarz inequalities in the mapping structure of linear operator | Zendy

Trailokya Panigrahi | Zendy; R. M. El-Ashwah | Zendy

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Applications of Cauchy-Schwarz inequalities in the mapping structure of linear operator

Author(s) -

Trailokya Panigrahi,

R. M. El-Ashwah

Publication year - 2018

Publication title -

african journal of mathematics and computer science research

Language(s) - English

Resource type - Journals

ISSN - 2006-9731

DOI - 10.5897/ajmcsr2016.0672

Subject(s) - mathematics , cauchy distribution , subordination (linguistics) , convex function , cauchy–schwarz inequality , pure mathematics , hypergeometric function , generalized hypergeometric function , function (biology) , operator (biology) , linear map , algebra over a field , mathematical analysis , inequality , regular polygon , philosophy , linguistics , biochemistry , geometry , chemistry , repressor , evolutionary biology , gene , transcription factor , biology

By applications of Cauchy-Schwarz inequalities, several sufficient conditions in terms of hypergeometric inequalities were found such that the linear operator preserves and transforms certain well known subclasses of univalent functions to another classes. Relevant connections of our work with the earlier work is pointed out. Key words: Analytic function, subordination, starlike function, convex function, hypergeometric function, Cauchy-Schwarz inequality.

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