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

• Published in: Journal 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
• Language: English
• 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

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...