Subclass of uniformly convex functions defined by linear operator

[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.

[发布机构] 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

[效力级别] 工业技术

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