Class Of Multivalent Functions Research Articles

A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator

The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class . Also we apply the Fractional calculus techniques to obtain the applications of the class . Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.

Properties of multivalent functions associated with the integral operator defined by the hypergeometric function

In this paper, we introduce a new class of multivalent functions by using a generalized integral operator defined by the hypergeometric function. Some properties such as inclusion, radius problem and integral preserving are considered. MSC:30C45, 30C50.

On certain subclasses of multivalent functions defined by multiplier transformations

Abstract The purpose of the present paper is to introduce and investigate various properties of a certain class of multivalent functions in the open unit disk defined by a multiplier transformation. In particular, we obtain some inclusion relationships and integral preserving properties of this class of functions. Relevant connections of the results presented in this paper with various known results are also pointed out. MSC:30C45.

The best approximation of certain unbounded operators on classes of multivariable functions

We obtain the value of the best approximation of the linear combination, with non-negative coefficients, of the second partial derivatives and mixed derivatives of the second order on the class of multivariable functions with bounded third partial derivatives.

The error at interpolation of some classes of multivariable functions by multifaceted functions and multilinear splines

For functions defined on $n$-dimensional parallelepiped from classes determined by given upwards full module of continuity, the exact value of error of interpolation by multifaceted functions and multilinear splines is obtained.

Certain classes of multivalent functions with negative coefficients involving the Hadamard product

Certain classes of multivalent functions with negative coefficients involving the Hadamard product

On a class of multivalent functions defined by an extended multiplier transformations

In the present paper, the authors investigate starlikeness and convexity of a class of multivalent functions defined by an extended multiplier transformation. As a consequence, a number of sufficient conditions for starlikeness and convexity of analytic functions are also obtained.

Non-Linear Approximation of Functions with Mixed Smoothness by Sets of Finite Pseudo-Dimension

In this paper, the non-linear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the non-linear width on this class is determined.

A Fibonacci Search technique for a class of multivariable functions and ODEs

In this paper, a robust technique which uses the Fibonacci Search is developed using the notion of hyperplanes for a class of multivariable functions. The paper also finds other area of application in differential equations. Numerical examples abound to demonstrate the efficiency of our technique.

Complexity of deterministic and randomized methods for multivariate integration problems for the class HpΛ(Id)

We introduce a new class of multivariate functions H Λ p (I d ), which includes some classical sets of functions such as isotropic and anisotropic Sobolev and Holder-Nikolskii as special cases or as a subclass in the sense of continuous imbedding. Then we prove that when p > 1 the e-complexity of the integration problem in the randomized setting as well as in the average case setting is significantly smaller than that in the worst case deterministic setting.

The Average Widths and Non-linear Widths of the Classes of Multivariate Functions with Bounded Moduli of Smoothness

The classes of the multivariate functions with bounded moduli on R d and T d are given and their average σ-widths and non-linear n-widths are discussed. The weak asymptotic behaviors are established for the corresponding quantities.

An application of fractional calculus to a new class of multivalent functions with negative coefficients

Motivated by some earlier works of Chen et al. (cf., [1,2]), dealing with various applications of the operators of fractional calculus in Analytic Function Theory, the authors introduce and study rather systematically a certain subclass of analytic and p-valent functions with negative coefficients. This subclass is defined by using a familiar fractional derivative operator. Coefficient estimates, growth and distortion theorems, and many other interesting and useful properties and characteristics of this class of analytic and p-valent functions are obtained; some of these properties involve, for example, linear combinations and modified Hadamard products (or convolution) of functions belonging to the class introduced here.

On relative widths of classes of multivariable functions that are defined as a convolution

We find exact order of estimate of relative widths in $L_1$ space of classes of periodic multivariable functions that are defined as a convolution of the product of one-dimensional kernels with functions from unit ball of $L_1$ space. By this we generalize known results on relative widths of classes of functions that are defined by bounds for $L_1$-norms of mixed derivatives.

A certain class of multivalent functions

The object of the present paper is to derive several properties of a certain class of multivalent functions in the open unit disk. One of our main theorems unifies and extends several earlier results in the theory of analytic functions.

Extreme points and convolution properties of some classes of multivalent functions

This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coefficient bounds. Finally, we investigate convolution conditions and other properties of the functions in these classes.

The uniqueness of decomposition of a class of multivalent functions.

On donne une condition suffisante d'unicite de la decomposition d'une classe de fonctions multivalentes

Convex hulls and extreme points of some classes of multivalent functions

are satisfied in p q and 0 <a < 1. We denote the class S(p, q, 0) by S(p, q). The functions in S(p, q, a) are p-valent; for S(p, q, a) c S( p, q), the class of p-valent starlike functions studied by Goodman [5]. A function f(z), given by (l.l), is said to be in the class C(p, q, a) if and only if zf’(z)/q is in S(p, q, a). The class C(p, q, a) is contained in C(p, q, 0) = C(p, q), the class of p-valent convex functions [5 1. Let K( p. p, a) be the class of functionsf(z), analytic in D and of the form such that there exists a function g(z) in S(p, p, a) and a complex number E, 1 E ] = I, satisfying

A Class of Multivalent Functions with Assigned Zeros

A Class of Multivalent Functions with Assigned Zeros

A class of multivalent functions with assigned zeros

A class of multivalent functions with assigned zeros

A Class of Multivalent Functions

A Class of Multivalent Functions