Results 31 to 40 of about 1,030 (119)
Approximation Properties of Generalized λ‐Bernstein–Stancu‐Type Operators
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The present study introduces generalized λ‐Bernstein–Stancu‐type operators with shifted knots. A Korovkin‐type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz‐type functions. Then, a Voronovskaja‐type theorem was given for the asymptotic behavior for these operators.
Qing-Bo Cai +3 more
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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
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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
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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
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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
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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
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Advances in Difference Equations, 2021 In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi +3 more
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Local and global results for modified Sz\'{a}sz - Mirakjan operators
, 2016 In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null +2 more
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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
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Degree of Approximation by Hybrid Operators
Abstract and Applied Analysis, 2013 We consider hybrid (Szász-beta) operators, which are a general sequence of integral type operators including beta function, and we give the degree of approximation by these Szász-beta-Durrmeyer operators.
Naokant Deo, Hee Sun Jung, Ryozi Sakai
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