Libera transform of functions with bounded turning
نویسندگان
چکیده
منابع مشابه
Generalized bounded boundary turning functions
For a Jordan domain with smooth boundary, the boundary rotation h is defined as the total variation of the direction angle of the tangent to the boundary curve under a complete circuit. The domain is said to have bounded turning or rotation if h < 1 and the functions under such mappings are called functions of bounded boundary turning or rotation. We define a generalization of this concept and ...
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In [6] it was shown that if f ∈ is starlike of order α, α= 0.294, . . . , so is the Libera integral operator F . We also know that (see, e.g., [1]) there are functions which are univalent or spiral-like in so that their Libera integral operators are not univalent or spiral-like in . Li and Owa [5] proved that if f ∈ is univalent in , then Fn(z) is starlike in |z| < 3/8. The number 3/8 is sharp....
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For normalized analytic functions in the unit disk, we consider subclasses of bounded turning. The geometric representation is introduced, the radii of convexity (close to convex) are calculated and some subordination relations are suggested. Moreover, the upper bound of the pre-Schwarzian norm for these functions is computed. AMS subject classifications: 30C45
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In this article, we determined the upper and lower bounds for functions having the properties of bounded turning by using the convexity techniques. Moreover, the bounds of the partial sums are estimated near the origin. 1 Introduction Let H be the class of functions analytic in the open unit disk U = {z : z ∈ C, |z| < 1} and H[a, n] be the subclass of H consisting of functions of the form f (z)...
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The goal of image segmentation is to separate objects from a cluttered background. It is an important step on the identification of shapes contained in the image. A turning function is a 1D shape signature and can be used as a 2D shape representation. We propose a way to identify and modify classes of shapes by operating directly on the turning function space. In this work we present a formal d...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00371-2