Results 31 to 40 of about 553 (125)

Convergence of generalized sampling series in weighted spaces

Demonstratio Mathematica, 2022
The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
Acar Tuncer, Alagöz Osman, Aral Ali, Costarelli Danilo, Turgay Metin, Vinti Gianluca   +5 more
doaj   +1 more source

On generalized Voronovskaja theorem for Bernstein polynomials [PDF]

Carpathian Journal of Mathematics, 2012
We establish a new quantitative variant of Floater’s theorem dealing with the generalization of Voronovskaja’s theorem for Bernstein polynomials. Our estimate improves the recent quantitative version of Floater’s theorem proved in [Gonska, H. and Ras¸a, I., Asymptotic behaviour of differentiated Bernstein polynomials, Mat.
openaire   +1 more source

Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin, Wen-Tao Cheng, Xiao-Wei Xu, Mohammad Mursaleen   +3 more
wiley   +1 more source

Approximation by Bézier Variant of Baskakov‐Durrmeyer‐Type Hybrid Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
We give a Bézier variant of Baskakov‐Durrmeyer‐type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian‐Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too.
Lahsen Aharouch, Khursheed J. Ansari, M. Mursaleen, Giovanni Di Fratta   +3 more
wiley   +1 more source

Approximation Theorem for New Modification of q‐Bernstein Operators on (0,1)

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this work, we extend the works of F. Usta and construct new modified q‐Bernstein operators using the second central moment of the q‐Bernstein operators defined by G. M. Phillips. The moments and central moment computation formulas and their quantitative properties are discussed.
Yun-Shun Wu, Wen-Tao Cheng, Feng-Lin Chen, Yong-Hui Zhou, Tuncer Acar   +4 more
wiley   +1 more source

Voronovskaja's theorem for Schoenberg operator [PDF]

Mathematical Inequalities & Applications, 2012
In this paper we represent new quantitative variants of Voronovskaja’s Theorem for Schoenberg variation-diminishing spline operator. We estimate the rate of uniform convergence for f ∈C2[0,1] and generalize the results obtained earlier by Goodman, Lee, Sharma, Gonska etc.
openaire   +1 more source

Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

Journal of Inequalities and Applications, 2020
In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
doaj   +1 more source

Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution

Mathematics, 2022
We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine, Arun Kajla, Abdullah Alotaibi   +2 more
doaj   +1 more source

On partial derivatives of multivariate Bernstein polynomials [PDF]

, 2016
It is shown that Bernstein polynomials for a multivariate function converge to this function along with partial derivatives provided that the latter derivatives exist and are continuous.
A. N. Shiryaev, A. Yu. Veretennikov, A. Yu. Veretennikov, E. V. Veretennikova, E. V. Voronovskaya, G. G. Lorentz, G. G. Lorentz, I. N. Chlodovsky, I. V. Tikhonov, M. S. Floater, N. V. Krylov, O. T. Pop, S. A. Telyakovskii, S. N. Bernstein, S. N. Bernstein, T. Popoviciu, U. Abel, V. A. Zorich   +17 more
core   +2 more sources

Recent progress on univariate and multivariate polynomial and spline quasi-interpolants [PDF]

, 2004
Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform ...
A.T. Diallo, C. Boor de, C. Dagnino, Chui, D. Braess, D.D. Stancu, F. Costabile, G. Chen, G. Vlaic, G. Walz, G.M. Phillips, G.M. Phillips, H. Berens, H. Oruç, H.H. Gonska, I.J. Schoenberg, J.M. Marsden, J.M. Marsden, J.M. Marsden, K. Jetter, M.J. Lai, M.J. Lai, M.M. Derriennic, M.M. Derriennic, M.M. Derriennic, M.M. Derriennic, P. Mache, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P.L. Butzer, T. Lyche, T.N.T. Goodman, T.N.T. Goodman, Th. Sauer, W. Chen, W. Zhengchang, Y. Kageyama, Y. Kageyama, Z. Ditzian   +43 more
core   +3 more sources