Results 31 to 40 of about 7,220,522 (276)

Approximation and Shape Preserving Properties of the Bernstein Operator of Max-Product Kind

International Journal of Mathematics and Mathematical Sciences, 2009
Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation
Barnabás Bede, Lucian Coroianu, Sorin G. Gal   +2 more
doaj   +1 more source

On a New Generalization of Bernstein-Type Rational Functions and Its Approximation

Mathematics, 2022
In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
doaj   +1 more source

Bernstein-type operators on triangles

Journal of Numerical Analysis and Approximation Theory, 2009
The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of corresponding approximation formulas are studied.
Petru Blaga, Gheorghe Coman
openaire   +3 more sources

A Bernstein-Schoenberg Type Operator: Shape Preserving and Limiting Behaviour

, 1995
Using a new B-spline basis due to Dahmen, Micchelli and Seidel, we construct a univariate spline approximation operator of Bernstein-Schoenberg type. We show that it shares all the shape preserving properties of the usual Bernstein-Schoenberg operator ...
T. N. T. Goodman, A. Sharma
core   +1 more source

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, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +1 more source

Estimates for Bernstein type operators [PDF]

Mathematical Inequalities & Applications, 2012
We prove the existence of a sequence of linear positive bounded polynomial operators on C[0,1] which preserve the functions e0(x) = 1 and e2(x) = x2. An extremal property and quantitative estimates are given. Mathematics subject classification (2010): 41A25, 41A36.
openaire   +1 more source

Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]

Mathematica Bohemica, 2018
We introduce modified $(p,q)$-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity.
Mohammad Mursaleen, Ahmed A. H. Alabied
doaj   +1 more source

On Smoothness Characterized by Bernstein Type Operators

Journal of Approximation Theory, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Multiple Binomial-Type Operators and Their Approximation Properties

Journal of Mathematics
In this paper, we introduce multiple binomial-type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin-type theorem.
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit   +2 more
doaj   +1 more source

Growth of Omnichannel Grocery Retailing and Food Prices

Agribusiness, EarlyView.
ABSTRACT This paper examines the effects of the growth of omnichannel grocery retailing on food prices. We first develop a conceptual model of consumer choice and retailer pricing that allows us to evaluate changes in equilibrium prices, quantities, and profits with online channel growth and alternative pricing strategies.
Xiangwen Kong, Metin Çakır, Qingxiao Li   +2 more
wiley   +1 more source