✦ LIBER ✦

Convex hulls and extreme points of some classes of multivalent functions

✍ Scribed by G.P Kapoor; A.K Mishra

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 466 KB
Volume: 87
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90155-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extremal Approximately Convex Functions

Extremal Approximately Convex Functions and Estimating the Size of Convex Hulls

✍ S.J. Dilworth; Ralph Howard; James W. Roberts 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 540 KB

A real-valued function f defined on a convex set K is an approximately convex function iff it satisfies A thorough study of approximately convex functions is made. The principal results are a sharp universal upper bound for lower semi-continuous approximately convex functions that vanish on the ver

Some applications of fractional calculus

Some applications of fractional calculus operators to certain classes of analytic and multivalent functions

✍ H.M Srivastava; Shigeyoshi Owa 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 371 KB

Extremal functions for functionals on so

Extremal functions for functionals on some classes of analytic functions

✍ Aharon Atzmon 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 312 KB

Some Properties of Certain Multivalent F

Some Properties of Certain Multivalent Functions

✍ Shigeyoshi Owa 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 493 KB

## Abstract Certain subclasses 𝒜~__p__~(__j__, α), ℬ︁~__p__~(__j__, α) and 𝒢~__p,b__~(__j__, α) of multivalent functions in the unit disk are introduced. The object of the present paper is to derive some properties of functions belonging to the classes 𝒜~__p__~(__j__, α), ℬ︁~__p__~(__j__, α), or 𝒢~

Radii of Convexity and Strong Starlikene

Radii of Convexity and Strong Starlikeness for Some Classes of Analytic Functions

✍ A. Gangadharan; V. Ravichandran; T.N. Shanmugam 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Let z be an analytic function with positive real part on ⌬ s z; z -1 with Ž . Ž . 0 s 1, Ј 0 ) 0 which maps the unit disk ⌬ onto a region starlike with respect Ž . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ž . Ž . Ž . Ž . Ž . Ž . analytic functions f z with f 0 s

A Locally Convex Extremal Problem over S

A Locally Convex Extremal Problem over Some Family of Complex Functions

✍ Józef Baranowicz; Marcin Studniarski 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 393 KB

## Abstract We shall be concerned in this paper with mathematical programming problem of the form: Φ~0~(__f__) → min subject to Φ__~i~__(__f__) ≦ 0, __i__ = 1, 2, …, __r__; __f__ where Φ__~i~__(__f__), __i__ = 0, 1, …, __r__ are regularly locally convex functions is a family of complex functions th