Title of article :
Comparison of the best approximation of holomorphic functions from Hardy space
Author/Authors :
Abdullayev ، F. G. Mersin University , Savchuk ، V. V. Institute of Mathematics of NAS of Ukraine , Simsek ، D. Kyrgyz--Turkish Manas University
Abstract :
We compare the best approximations of holomorphic functions in the Hardy space H^1 by algebraic polynomials and trigonometric polynomials. Particulary, we establish a class of functions f ∈ H^1 for which the best trigonometric approximation incide with the best algebraic approximation.
Keywords :
Best approximation , Hardy space , non , negative trigonometric polynomials
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
