Sharp inequalities for a class of novel convex functions associated with Gregory polynomials

This paper explores the class C G , consisting of functions g that satisfy a specific subordination relationship with Gregory coefficients in the open unit disk E . By applying certain conditions to related coefficient functionals, we establish sharp estimates for the first five coefficients of thes...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 140 - 19
Main Authors Srivastava, Hari. M., Cho, Nak Eun, Alderremy, A. A., Lupas, Alina Alb, Mahmoud, Emad E., Khan, Shahid
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 08.11.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Analytic functions
Applications of Mathematics
Coefficient problems
Convex analysis
Convex functions
Functionals
Gregory polynomials
Investigations
Mathematics
Mathematics and Statistics
Polynomials
Subordination
Subordination
Convex functions
Gregory polynomials
Analytic functions
Coefficient problems
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Summary:This paper explores the class C G , consisting of functions g that satisfy a specific subordination relationship with Gregory coefficients in the open unit disk E . By applying certain conditions to related coefficient functionals, we establish sharp estimates for the first five coefficients of these functions. Additionally, we derive bounds for the second and third Hankel determinants of functions in C G , providing further insight into the class’s properties. Our study also investigates the logarithmic coefficients of log ( g ( t ) t ) and the inverse coefficients of the inverse functions ( g − 1 ) within the same class.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03210-5