INTEGRAL MEANS OF HOLOMORPHIC FUNCTIONS AS GENERIC LOG-CONVEX WEIGHTS

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

Volume Integral Means of Holomorphic Functions

The classical integral means of a holomorphic function f in the unit disk are defined by [ 1 2π ∫ 2π 0 |f(re)| dθ ]1/p , 0 ≤ r < 1. These integral means play an important role in modern complex analysis. In this note we consider integral means of holomorphic functions in the unit ball Bn in C with respect to weighted volume measures, Mp,α(f, r) = [ 1 vα(rBn) ∫ rBn |f(z)| dvα(z) ]1/p , 0 ≤ r < 1...

متن کامل

The Sugeno fuzzy integral of log-convex functions

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, 35195-363, Iran Full list of author information is available at the end of the article Abstract In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We pr...

متن کامل

Integral Means of Multivalent Functions

For analytic functions f(z) and g(z) which satisfy the subordination f(z) ≺ g(z), J. E. Littlewood (Proc. London Math. Soc., 23 (1925), 481–519) has shown some interesting results for integral means of f(z) and g(z). The object of the present paper is to derive some applications of integral means by J.E. Littlewood and show interesting examples for our theorems. We also generalize the results o...

متن کامل

Integral Means for Uniformly Convex and Starlike Functions Associated with Generalized Hypergeometric Functions

Making use of the generalized hypergeometric functions, we introduce some generalized class of k−uniformly convex and starlike functions and for this class, we settle the Silverman’s conjecture for the integral means inequality. In particular, we obtain integral means inequalities for various classes of uniformly convex and uniformly starlike functions in the unit disc.

متن کامل

Inequalities for 3-log-convex Functions

This note gives a simple method for obtaining inequalities for ratios involving 3log-convex functions. As an example, an inequality for Wallis’s ratio of Gautchi-Kershaw type is obtained. Inequalities for generalized means are also considered.

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: Bulletin of the Australian Mathematical Society

سال: 2017

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s000497271700065x