On the order of strongly starlikeness of strongly convex functions
نویسندگان
چکیده
منابع مشابه
On the quadratic support of strongly convex functions
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
متن کاملOn the Strongly Starlikeness of Multivalently Convex Functions of Order Α
The object of the present paper is to derive some sufficient conditions for strongly starlikeness of multivalently convex functions of order α in the open unit disc. 2000 Mathematics Subject Classification. 30C45.
متن کاملon the quadratic support of strongly convex functions
in this paper, we first introduce the notion of $c$-affine functions for $c> 0$.then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. moreover, a hyers–-ulam stability result for strongly convex functions is shown.
متن کاملON STRONGLY h-CONVEX FUNCTIONS
We introduce the notion of strongly h-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly h-convex functions. Finally, a Hermite–Hadamard–type inequality for strongly h-convex functions is given.
متن کاملRadius of Strongly Starlikeness for Certain Analytic Functions
For analytic functions f (z) = z p +a p+1 z p+1 +··· in the open unit disk U and a polynomial Q(z) of degree n > 0, the function F(z) = f (z)[Q(z)] β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1993
ISSN: 0386-2194
DOI: 10.3792/pjaa.69.234