In 2010, Long and Zeng introduced a new generalization of the Bernstein polynomials that depends ... more In 2010, Long and Zeng introduced a new generalization of the Bernstein polynomials that depends on a parameter and called -Bernstein polynomials. After that, in 2018, Lain and Zhou studied the uniform convergence for these -polynomials and obtained a Voronovaskaja-type asymptotic formula in ordinary approximation. This paper studies the convergence theorem and gives two Voronovaskaja-type asymptotic formulas of the sequence of -Bernstein polynomials in both ordinary and simultaneous approximations. For this purpose, we discuss the possibility of finding the recurrence relations of the -th order moment for these polynomials and evaluate the values of -Bernstein for the functions , is a non-negative integer
The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic f... more The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic functions defined by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships and radius problem of this class.The subordination relations, distortion theorems, and inequality properties are discussed by applying differential subordination method.
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
In this paper, we study the interesting properties of differential subor-dination and superordina... more In this paper, we study the interesting properties of differential subor-dination and superordination for the classes of symmetric functions analytic in the unit disc. We derive sandwich results on the basis of this theory.
The main object of this paper is to derive several interesting argument properties of a linear op... more The main object of this paper is to derive several interesting argument properties of a linear operator H m,µ p,q,s (α 1) associated with the generalized hypergeometric functions.
In this paper, we introduce a new class of twofold symmetric functions analytic in the unit disc.... more In this paper, we introduce a new class of twofold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.
In this paper, we introduce some new subclasses of multivalent analytic functions in the unit dis... more In this paper, we introduce some new subclasses of multivalent analytic functions in the unit disc E, and investigate a number of inclusion relationships, radius problem, and some other interesting properties of p-valent functions which are defined here by means of a certain integral operator Q α β ,p f (z).
In this paper, we introduce a new class of generalized twofold symmetric non-Bazilevic functions ... more In this paper, we introduce a new class of generalized twofold symmetric non-Bazilevic functions analytic in the unit disc E. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.
In this paper, we apply fractional differintegral operator and study various properties of differ... more In this paper, we apply fractional differintegral operator and study various properties of differential subordination and superordination. ∞ ∑ k=p+1 a k z k (p ∈ N), (1) and set A ≡ A(1).
In this paper, we investigate differential subordination and superordination properties of a new ... more In this paper, we investigate differential subordination and superordination properties of a new class of meromorphic analytic functions in the punctured unit disc. We derive some sandwich theorems.
In this paper, we obtain some interesting properties of differential subordination and superordin... more In this paper, we obtain some interesting properties of differential subordination and superordination for the classes of symmetric functions analytic in the unit disc, by applying Noor integral operator. We investigate several sandwich theorems on the basis of this theory.
Boletim da Sociedade Paranaense de Matemática, 2014
In this paper, we investigate interesting properties and sufficient conditions for meromorphic st... more In this paper, we investigate interesting properties and sufficient conditions for meromorphic starlike functions in the punctured unit disc.
In 2010, Long and Zeng introduced a new generalization of the Bernstein polynomials that depends ... more In 2010, Long and Zeng introduced a new generalization of the Bernstein polynomials that depends on a parameter and called -Bernstein polynomials. After that, in 2018, Lain and Zhou studied the uniform convergence for these -polynomials and obtained a Voronovaskaja-type asymptotic formula in ordinary approximation. This paper studies the convergence theorem and gives two Voronovaskaja-type asymptotic formulas of the sequence of -Bernstein polynomials in both ordinary and simultaneous approximations. For this purpose, we discuss the possibility of finding the recurrence relations of the -th order moment for these polynomials and evaluate the values of -Bernstein for the functions , is a non-negative integer
The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic f... more The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic functions defined by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships and radius problem of this class.The subordination relations, distortion theorems, and inequality properties are discussed by applying differential subordination method.
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
In this paper, we study the interesting properties of differential subor-dination and superordina... more In this paper, we study the interesting properties of differential subor-dination and superordination for the classes of symmetric functions analytic in the unit disc. We derive sandwich results on the basis of this theory.
The main object of this paper is to derive several interesting argument properties of a linear op... more The main object of this paper is to derive several interesting argument properties of a linear operator H m,µ p,q,s (α 1) associated with the generalized hypergeometric functions.
In this paper, we introduce a new class of twofold symmetric functions analytic in the unit disc.... more In this paper, we introduce a new class of twofold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.
In this paper, we introduce some new subclasses of multivalent analytic functions in the unit dis... more In this paper, we introduce some new subclasses of multivalent analytic functions in the unit disc E, and investigate a number of inclusion relationships, radius problem, and some other interesting properties of p-valent functions which are defined here by means of a certain integral operator Q α β ,p f (z).
In this paper, we introduce a new class of generalized twofold symmetric non-Bazilevic functions ... more In this paper, we introduce a new class of generalized twofold symmetric non-Bazilevic functions analytic in the unit disc E. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.
In this paper, we apply fractional differintegral operator and study various properties of differ... more In this paper, we apply fractional differintegral operator and study various properties of differential subordination and superordination. ∞ ∑ k=p+1 a k z k (p ∈ N), (1) and set A ≡ A(1).
In this paper, we investigate differential subordination and superordination properties of a new ... more In this paper, we investigate differential subordination and superordination properties of a new class of meromorphic analytic functions in the punctured unit disc. We derive some sandwich theorems.
In this paper, we obtain some interesting properties of differential subordination and superordin... more In this paper, we obtain some interesting properties of differential subordination and superordination for the classes of symmetric functions analytic in the unit disc, by applying Noor integral operator. We investigate several sandwich theorems on the basis of this theory.
Boletim da Sociedade Paranaense de Matemática, 2014
In this paper, we investigate interesting properties and sufficient conditions for meromorphic st... more In this paper, we investigate interesting properties and sufficient conditions for meromorphic starlike functions in the punctured unit disc.
Uploads
Papers by Ali Muhammad