Results 11 to 20 of about 491,506 (127)
Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights [PDF]
Abstract and Applied Analysis, 2011 Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
doaj +2 more sources
Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
doaj +2 more sources
Durrmeyer-Stancu type operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2010 Considering two given real parameters \(\alpha, \beta\) satisfying the conditions \(0\leq\alpha\leq\beta\), D. D. Stancu [7] constructed and studied the linear positive operators \(P^{(\alpha,\beta)}_m:C([0,1])\to C([0,1])\), defined for any \(f\in C([0 ...
Ovidiu T. Pop, Dan Bărbosu
doaj +3 more sources
Szász–Durrmeyer Operators Involving Confluent Appell Polynomials
AxiomsThis article is concerned with the Durrmeyer-type generalization of Szász operators, including confluent Appell polynomials and their approximation properties.
Kadir Kanat, Selin Erdal
doaj +2 more sources
Inverse theorem for the Szász-Durrmeyer operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2009 In the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V.
Tomasz Świderski
doaj +3 more sources
On the Generalized Baskakov Durrmeyer Operators [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
doaj +2 more sources
GENUINE MODIFIED BASKAKOV-DURRMEYER OPERATORS [PDF]
, 2021 The present paper deals with genuine Baskakov Durrmeyer operators which have preserved certain functions. We have obtained quantitative Voronovskaya and quantitative Grüss type Voronovskaya theorems using the weighted modulus of continuity. These results
Ulusoy Ada, Gülsüm
core +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We construct a novel family of summation‐integral‐type hybrid operators in terms of shape parameter α ∈ [0,1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness.
Ming-Yu Chen +5 more
wiley +1 more source
Bernstein-Durrmeyer operators [PDF]
, 1995 In this paper, we consider the Durrmeyer-type modifications of the classical Bernstein, Szász and Baskakov operators, and deal with two different kind of problems.
de la Cal, J., Adell, J.A.
core +1 more source