论文信息 - Convexity of integral operators of p-valent functions

Convexity of integral operators of p-valent functions

In this paper, we obtain the order of convexity of new general integral operators of p-valent functions on some classes of k-uniformly p-valent starlike and k-uniformly p-valent convex functions. As special cases, the order of convexity of the operators @!"0^z(f(t)t)^@adt and @!"0^z(f^'(t))^@adt are given.

Basem A. Frasin | B. Frasin

[1] Daniel Breaz,et al. TWO INTEGRAL OPERATORS , 2002 .

[2] David Minda,et al. Uniformly convex functions , 1992 .

[3] Sanford S. Miller,et al. Starlike integral operators , 1978 .

[4] B. Frasin. SOME SUFFICIENT CONDITIONS FOR CERTAIN INTEGRAL OPERATORS , 2008 .

[5] Shigeyoshi Owa,et al. Properties of certain p-valently convex functions , 2003 .

[6] A. Goodman,et al. On uniformly starlike functions , 1991 .

[7] Hari M. Srivastava,et al. Generalized hypergeometric functions associated with k-uniformly convex functions , 2002 .

[8] D. Breaz,et al. Some convexity properties for a general integral operator. , 2006 .

[9] S. Owa. ON UNIFORMLY CONVEX FUNCTIONS , 1998 .

[10] D. Breaz,et al. The integral operator on the classes S_α^✻(b) and C_α(b) , 2008 .

[11] Frode Rønning,et al. Uniformly convex functions and a corresponding class of starlike functions , 1993 .

[12] H. A. Al-Kharsani,et al. A note on certain inequalities for -valent functions. , 2008 .