Results 31 to 40 of about 1,098 (130)
Approximation by Durrmeyer-type operators [PDF]
Annales Polonici Mathematici, 1996 The authors consider the operators \[ M_n(f,x)= \sum^\infty_{k=0} p_{n,k}(x)\int^\infty_0 b_{n,k}(t)f(t)dt, \] where \(p_{n,k}(x)= (-1)^k{x^k\over k!} \phi^{(k)}_n(x)\), \(b_{n,k}(t)= (-1)^{k+1}{t^k\over k!} \phi^{(k+1)}_n(t)\) and \[ \phi_n(x)= \begin{cases} (1+cx)^{-n/c} & \text{for the interval }[0,\infty)\text{ with }c>0\\ e^{-nx} & \text{for the ...
Gupta, Vijay, Srivastava, G. S.
openaire +2 more sources
Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
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 +1 more source
Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces
Journal of Inequalities and Applications, 2019 In the present manuscript, we define a non-negative parametric variant of Baskakov–Durrmeyer operators to study the convergence of Lebesgue measurable functions and introduce these as α-Baskakov–Durrmeyer operators.
Md Nasiruzzaman +3 more
doaj +1 more source
On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus
Journal of Function Spaces, 2020 In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj +1 more source
Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
doaj +1 more source
Some Bernstein–Durrmeyer-type operators [PDF]
Methods and Applications of Analysis, 1997 With a view to generalize Bernstein and Szász operators \textit{A. Meir} and \textit{A. Sharma} [Indag. Math. 29, 395-403 (1967; Zbl 0176.34801)] had introduced two linear positive operators, the first one being based on Laguerre polynomials while the second on Hermite polynomials.
Chen, Weiyu, Sharma, A.
openaire +2 more sources
Approximation by modified Szász-Durrmeyer operators
Periodica Mathematica Hungarica, 2015 The paper contains a new modification of the Szász-Mirakjan operators, in Durrmeyer's version, using an infinitely differentiable function \(\rho\) on interval \([0,\infty)\), whith \(\rho(0)=0\) and \(\rho'(t)\geq 1\), \(t\in[0,\infty)\): \[ D_n^{\rho}(f,x)=n\sum_{k=0}^{\infty}\mathcal{P}_{n,\rho,k}(x)\int_0^{\infty}(f\circ\rho^{-1})(t)p_{n,k}(t)dt, \]
Tuncer Acar, Gülsüm Ulusoy
openaire +1 more source
Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adell, J.A., de la Cal, J.
openaire +1 more source
Direct estimates for Lupaş-Durrmeyer operators
Filomat, 2016 The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupa? operators and established some results.
Aral, Ali, Gupta, Vijay
openaire +3 more sources
Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space
Demonstratio Mathematica, 2014 In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
Krech Grażyna, Wachnicki Eugeniusz
doaj +1 more source