Results 51 to 60 of about 474 (129)
Approximation properties of the new type generalized Bernstein-Kantorovich operators
AIMS Mathematics, 2022 In this paper, we introduce new type of generalized Kantorovich variant of α-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz ...
Mustafa Kara
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 +17 more
core +2 more sources
(p,q)-Generalization of Szasz-Mirakyan Operators
, 2015 In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core +1 more source
How to Analyze Models of Nonlinear Public Goods [PDF]
, 2018 Public goods games often assume that the effect of the public good is a linear function of the number of contributions. In many cases, however, especially in biology, public goods have nonlinear effects, and nonlinear games are known to have dynamics and
Archetti, Marco
core +2 more sources
King-type operators related to squared Szász-Mirakyan basis [PDF]
, 2020 In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szász-Mirakyan basis and prove that these operators behave better than the classical Szász-Mirakyan operators.
HOLHOȘ, Adrian
core +2 more sources
On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
doaj +1 more source
On Sequences of J. P. King‐Type Operators
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar +4 more
wiley +1 more source
Journal of Operators, Volume 2013, Issue 1, 2013., 2013 We characterize the errors of the algebraic version of trigonometric Jackson integrals Gs,n in weighted integral metric. We prove direct and strong converse theorem in terms of the weighted K‐functional.
Teodora Zapryanova, Hagen Neidhardt
wiley +1 more source
Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
doaj +1 more source
q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The present paper deals with approximation properties of q‐Szász‐Mirakyan‐Kantorovich operators. We construct new bivariate generalization by qR‐integral and these operators′ approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya‐type theorem for the proposed operators in polynomial weighted spaces of ...
Mediha Örkcü, Sergei V. Pereverzyev
wiley +1 more source