Unconstrained Optimization of Univalent Harmonic Functions

Abstract

The new generalized operator F 𝜈,𝛿m , is a conjunction between Unconstrained optimization and Univalent Harmonic Functions.We derived some properties by this conjunction like, coefficient inequality, convex set, apply Bernardi operator and determine the extreme points such that ∑ ∞𝔫=1 (𝜔 𝔫 + 𝜗 𝔫 ) = 1, (𝜔 𝔫 ≥ 0 , 𝜗 𝔫 ≥ 0). In particular, the extreme points of 𝑁𝛿 𝑢∗ ( 𝛽, 𝛾, 𝜇; 𝑛, 𝜆) are { ℎ 𝔫 } and { 𝑔 𝔫 }