Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers

f (0) = 0, f (0) = 1 and zf (z) f ′(z) ≺ τ z + 2τ 2z2 1 − τ z − τ 2z2 (z ∈ ∆), where, the number τ = (1− √ 5)/2 is such that |τ | fulfils the golden section of the segment [0, 1]. Some relevant remarks and useful connections of the main results are also pointed out. © 2011 Elsevier Ltd. All rights reserved.

متن کامل

On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers

In this paper we investigate an interesting subclass SL of analytic univalent functions in the open unit disc on the complex plane. This class was introduced by Sokół [J. Sokół, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175 (1999) 111–116]. The class SL is strongly related to the class KSL considered earlier by the authors of the present work ...

متن کامل

Coefficient Bounds for Analytic bi-Bazileviv{c} Functions Related to Shell-like Curves Connected with Fibonacci Numbers

In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers.  Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.

متن کامل

Bernstein's polynomials for convex functions and related results

In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of  Hermite-Hadamard inequality for convex functions.

متن کامل

Certain results related to theN-transform of a certain class of functions and differential operators

*Correspondence: [email protected] Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman, Jordan Abstract In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential...

متن کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2011

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2011.03.006