Partial sums of functions of bounded turning

We determine conditions under which the partial sums of the Libera integral operator of functions of bounded turning are also of bounded turning.

[1]  G. Gasper Nonnegative sums of cosine, ultraspherical and Jacobi polynomials☆ , 1969 .

[2]  E. C. Titchmarsh,et al.  The theory of functions , 1933 .

[3]  Shigeyoshi Owa,et al.  On Partial Sums of the Libera Integral Operator , 1997 .

[4]  N. Ayırtman,et al.  Univalent Functions , 1965, Series and Products in the Development of Mathematics.