ON A SUBCLASS OF UNIFORMLY QUASI CONVEX FUNCTIONS OF ORDER $alpha$

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Konuralp Journal of Mathematics
Volume:3 Issue:2
ON A SUBCLASS OF UNIFORMLY QUASI CONVEX FUNCTIONS OF ORDER $alpha$

ON A SUBCLASS OF UNIFORMLY QUASI CONVEX FUNCTIONS OF ORDER $alpha$

Authors : D VAMSHEE KRISHNA, B VENKATESWARLU, T RAMREDDY

Pages : 33-41

View : 44 | Download : 14

Publication Date : 2015-10-01

Article Type : Research Paper

Abstract :In this paper, we introduce two new classes of analytic functions namely uniformly quasi convex functions of order and quasi uniformly con- vex functions of order denoted by UQCV insert ignore into journalissuearticles values($\alpha$ ); and QUCV insert ignore into journalissuearticles values( $\alpha$ ); insert ignore into journalissuearticles values($0\qeq $\alpha$ < 1$); respectively and study certain properties of functions belonging to these two classes. Further, we obtain a necessary and sucient condition for the function finsert ignore into journalissuearticles values(z); to be in the class UQCV insert ignore into journalissuearticles values( $\alpha$ );: These results are generalized recent results of Rajalakshmi Rajagopal and Selvaraj [7]:
Keywords : Analytic function, uniformly quasi convex function, quasi uniformly convex function, positive real function

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