A pointwise approximation theorem for linear combinations of Bernstein polynomials
Abstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996 Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
wiley +1 more source
Approximation Properties of Schurer-Stancu Type Polynomials [PDF]
, 2014 MSC 2010: 41A25 ...
Done, Yesim, Sucu, Sezgin, Ibikli, Ertan
core
Eighteenth Order Convergent Method for Solving Non-Linear Equations [PDF]
, 2017 In this paper, we suggest and discuss an iterative method for solving nonlinear equations of the type f(x)=0 having eighteenth order convergence. This new technique based on Newton’s method and extrapolated Newton’s method.
Ramadevi Sri, M.S Mylapalli, V.B Vatti
core +1 more source
Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
doaj +1 more source
Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
wiley +1 more source
A method of summability of Lagrange interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 19-25, 1994., 1992 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference
Detlef H. Mache
wiley +1 more source
Теглова апроксимация с операторите на Майер-Кьониг и Целер [PDF]
, 2015 [Gadjev Ivan; Гаджев Иван]AMS Subject Classification : 41A36, 41A25, 41A27 ...
Gadjev, Ivan
core
A−Summation process in the space of locally integrable functions [PDF]
, 2020 In this paper, using the concept of summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from Lp,q (loc) , the space of locally integrable functions, into itself.
ORHAN, Cihan, ȘAHIN BAYRAM, Nilay
core +2 more sources
Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Demonstratio MathematicaIn the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo +2 more
doaj +1 more source
On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
doaj +1 more source