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Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
Total Convexity for Powers of the Norm in Uniformly Convex Banach Spaces
Uniformly Convex Banach Spaces Norm Total Convexity
2009/1/13
The aim of the paper is to show that, in uniformly convex Banach spaces, the powers of the norm with exponent r > 1 share a property called total convexity. Using this fact we establish a formula for ...
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients
Analytic functions Univalent functions Coefficient inequalities and coefficient estimates Starlike functions Convex functions Close-to-convex functions $k$-Uniformly convex functions $k$-Uniformly starlike functions Uniformly starlike functions Hadamard product (or convolution) Extreme points Radii of close-to-convexity starlikeness and convexity Integral operators
2008/7/3
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients.
A New Subclass of Uniformly Convex Functions and a Corresponding Subclass of Starlike Functions with Fixed Second Coefficient
Univalent Convex Starlike Uniformly convex Uniformly starlike Linear operator
2008/7/3
Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this pape...
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operators
Univalent Convex Starlike Uniformly convex Fractional calculus integral operator
2008/7/3
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operato...
Integral Means For Uniformly Convex and Starlike Functions Associated With Generalized Hypergeometric Functions
Univalent Starlike Convex Uniformly convex Uniformly starlike Hadamard product Integral means Generalized hypergeometric functions
2008/6/30
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 th...
Subordination Results for the Family of Uniformly Convex $p-$valent Functions
$p-$valent Uniformly convex functions Subordination
2008/6/26
Subordination Results for the Family of Uniformly Convex $p-$valent Functions.
Uniformly Starlike and Uniformly Convex Functions Pertaining to Special Functions
Analytic functions Univalent functions Starlike functions Convex functions Integral operator Fox-Wright function
2008/6/26
Uniformly Starlike and Uniformly Convex Functions Pertaining to Special Functions.