Functional inequalities for several classes of q-starlike and q-convex type analytic and multivalent functions using a generalized Bernardi integral operator

In the article we introduce and investigate several new subclasses of q-starlike and q-convex type analytic and multivalent functions involving a generalized Bernardi integral operator, and establish the Fekete-Szegö type functional inequalities for these function classes. Besides, the corresponding...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 2; pp. 1191 - 1208
Main Authors Long, Pinhong, Tang, Huo, Wang, Wenshuai
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
analytic function
bernardi integral operator
fekete-szegö problem
multivalent function
q-derivative operator
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021073

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Summary:In the article we introduce and investigate several new subclasses of q-starlike and q-convex type analytic and multivalent functions involving a generalized Bernardi integral operator, and establish the Fekete-Szegö type functional inequalities for these function classes. Besides, the corresponding bound estimates of the coefficients ap+1 and ap+2 are obtained.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021073