Subclass of uniformly convex functions defined by linear operator

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Narasimha Murthy, A.^1 ; Niranjan, H.^2 ; Thirupathi Reddy, P.^3

Department of Mathematics, Govt. Aided A.V.V. Junior College, Warangal

Telangana

506002, India^1

Department of Mathematics, School of Advanced Sciences, VIT University, Vellore

Tamil Nadu

632014, India^2

Department of Mathematics, Kakatiya University, Warangal

Telangana

506009, India^3

关键词: Extreme points;    Linear operators;    Negative coefficients;    Partial sums;    Uniformly convexes;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/4/042157/pdf
DOI  :  10.1088/1757-899X/263/4/042157

来源: IOP

【 摘 要 】

Making use of certain linear operator, we define a new subclass of uniformly convex functions with negative coefficients and obtain coefficient estimates, extreme points, closure and inclusion theorems and the radii of star likeness and convexity for the new subclass. Furthermore, results partial sums are discussed.