Yazar "Acar, Tuncer" için listeleme
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Approximation by (p, q)-Baskakov-Durrmeyer-Stancu Operators
Acar, Tuncer; Mohiuddine, S. A.; Mursaleen, Mohammad (Springer Basel Ag, 2018)The present paper deals with the Stancu-type generalization of (p, q)-Baskakov-Durrmeyer operators. We investigate local approximation, weighted approximation properties of new operators and present the rate of convergence ... -
Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
Acar, Tuncer; Aral, Ali; Mohiuddine, S. A. (Springer International Publishing Ag, 2018)In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence ... -
Approximation by generalized Baskakov-Durrmeyer-Stancu type operators
Kumar, A. Sathish; Acar, Tuncer (Springer-Verlag Italia Srl, 2016)In this paper, we introduce Stancu type modification of generalized Baskakov-Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and ... -
Approximation by k-th order modifications of Szász-Mirakyan operators
Acar, Tuncer; Aral, Ali; Rasa, Ioan (Akademiai Kiado Rt, 2016)In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, ... -
Approximation by modified Szasz-Durrmeyer operators
Acar, Tuncer; Ulusoy, Gulsum (Springer, 2016)The main goal of this paper is to introduce Durrmeyer modifications for the generalized Szasz-Mirakyan operators defined in (Aral et al., in Results Math 65:441-452, 2014). The construction of the new operators is based ... -
Asymptotic Formulas for Generalized Szasz-Mirakyan Operators
Acar, Tuncer (Elsevier Science Inc, 2015)In the present paper, we consider the general Szasz-Mirakyan operators and investigate their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems using the weighted ... -
Bezier variant of the Bernstein-Durrmeyer type operators
Acar, Tuncer; Agrawal, P. N.; Neer, Trapti (Springer Basel Ag, 2017)In the present paper, we introduce the Bezier-variant of Durrmeyer modification of the Bernstein operators based on a function , which is infinite times continuously differentiable and strictly increasing function on [0, ... -
Blending Type Approximation By Bezier-Summation-Integral Type Operators
Acar, Tuncer; Kajla, Arun (Ankara Univ, Fac Sci, 2018)In this note we construct the Bezier variant of summation integral type operators based on a non-negative real parameter. We present a direct approximation theorem by means of the first order modulus of smoothness and the ... -
Construction of a new family of Bernstein-Kantorovich operators
Mohiuddine, S. A.; Acar, Tuncer; Alotaibi, Abdullah (Wiley, 2017)In the present paper, we construct a new sequence of Bernstein-Kantorovich operators depending on a parameter alpha. The uniform convergence of the operators and rate of convergence in local and global sense in terms of ... -
Differentiated Bernstein Type Operators
Aral, Ali; Acar, Tuncer; Ozsarac, Firat (PADOVA UNIV PRESS, 2020)The present paper deals with the derivatives of Bernstein type operators preserving some exponential functions. We investigate the uniform convergence of the differentiated operators. The rate of convergence by means of a ... -
Durrmeyer tipli operatörlerin özellikleri
Acar, Tuncer (Kırıkkale Üniversitesi, 2011)Bu çalışma dört bölümden oluşmaktadır. Birinci bölüm giriş için ayrılmıştır.İkinci bölümde bazı temel tanımlar ve kavramlar verilmiştir.Üçüncü bölümde genelleştirilmiş Szasz operatörleri ve türevi sınırlı salınımlı olan ... -
Genelleştirilmiş Gadjiev operatörlerinin yaklaşım özellikleri
Acar, Tuncer (Kırıkkale Üniversitesi, 2015)Bu tez beş bölümden oluşmaktadır. Birinci bölüm, giriş kısmına ayrılmıştır. İkinci bölümde tezde gerekli olan kavramlar ve tanımlar verilmiştir. Üçüncü bölümde, Bernstein-Chlodowsky polinomlarının Gadjiev tipli genelleştirmesi ... -
Iterated Boolean Sums of Bernstein Type Operators
Acar, Tuncer; Aral, Ali; Rasa, Ioan (TAYLOR & FRANCIS INC, 2020)The approximation of functions using linear positive operators is affected by saturation. The quality of approximation offered by iterated Boolean sums increases with the regularity of the function. We present some qualitative ... -
Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process
Acar, Tuncer; Dirik, Fadime (Hindawi Ltd, 2013)Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted L-p spaces, 1 <= p < infinity for ... -
The new forms of Voronovskaya's theorem in weighted spaces
Acar, Tuncer; Aral, Ali; Rasa, Ioan (Springer, 2016)The Voronovskaya theorem which is one of the most important pointwise convergence results in the theory of approximation by linear positive operators (l.p.o) is considered in quantitative form. Most of the results presented ... -
On a Modification of (p, q)-Szasz-Mirakyan Operators
Acar, Tuncer; Agrawal, Purshottam Narain; Kumar, A. Sathish (Springer Basel Ag, 2018)In the present paper, we construct and investigate a variant of modified (p, q)-Szasz-Mirakyan operators, studied in Acar (Math Methods Appl Sci 39(10):2685-2695, 2016), which reproduce the test function The order of ... -
On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
Acar, Tuncer; Aral, Ali; Gupta, Vijay (Walter De Gruyter Gmbh, 2015)The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for ... -
On Kantorovich modification of (p, q)-Baskakov operators
Acar, Tuncer; Aral, Ali; Mohiuddine, Syed Abdul (Springeropen, 2016)The concern of this paper is to introduce a Kantorovich modification of (p, q)-Baskakov operators and investigate their approximation behaviors. We first define a new (p, q)-integral and construct the operators. The rate ... -
On Kantorovich Modification of (p, q)-Bernstein Operators
Acar, Tuncer; Aral, Ali; Mohiuddine, S. A. (Springer International Publishing Ag, 2018)In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators using a new (p, q) -integral. We first estimate the moments and central moments. We obtain uniform convergence of new operators, ... -
On Pointwise Convergence of q-Bernstein Operators and Their q-Derivatives
Acar, Tuncer; Aral, Ali (Taylor & Francis Inc, 2015)Pointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These ...