Add to ORKGThis thesis consisting of three chapters is concerned with Bernstein polynomials. In the first chapter, an introduction to Bernstein polynomials is given. Then, basic properties of Bernstein polynomials are studied in the second chapter. Last chapter studies the generalized Bernstein polynomials and since it is known that generalized Bernstein polynomials are related to q-integers, we gave basic properties of q-integers. In this chapter, convergence properties of Bernstein polynomials are also given. In addition, we introduced some probabilistic considerations of generalized Bernstein polynomials
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation ope...
AbstractLet f∈C[0, 1], q∈(0, 1), and Bn(f, q; x) be generalized Bernstein polynomials based on the q...
AbstractIn this paper, we introduce the generalized q-Bernstein polynomials based on the q-integers ...
This paper is concerned with a generalization of the Bernstein polynomials in which the approximated...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
The convergence properties of q-Bernstein polynomials are investigated. When q greater than or equal...
The convergence properties of q-Bernstein polynomials are investigated. When q greater than or equal...
AbstractIn this paper, we discuss properties of the ω,q-Bernstein polynomials Bnω,q(f;x) introduced ...
The Bernstein operator is one of the important topics of approximation theory in which it has been s...
AbstractLet Bn(f,q;x),n=1,2,… be q-Bernstein polynomials of a function f:[0,1]→C. The polynomials Bn...
Abstract Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields suc...
International audienceWe introduce here a generalization of the modified Bernstein polynomials for J...
International audienceWe introduce here a generalization of the modified Bernstein polynomials for J...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation ope...
AbstractLet f∈C[0, 1], q∈(0, 1), and Bn(f, q; x) be generalized Bernstein polynomials based on the q...
AbstractIn this paper, we introduce the generalized q-Bernstein polynomials based on the q-integers ...
This paper is concerned with a generalization of the Bernstein polynomials in which the approximated...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
The convergence properties of q-Bernstein polynomials are investigated. When q greater than or equal...
The convergence properties of q-Bernstein polynomials are investigated. When q greater than or equal...
AbstractIn this paper, we discuss properties of the ω,q-Bernstein polynomials Bnω,q(f;x) introduced ...
The Bernstein operator is one of the important topics of approximation theory in which it has been s...
AbstractLet Bn(f,q;x),n=1,2,… be q-Bernstein polynomials of a function f:[0,1]→C. The polynomials Bn...
Abstract Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields suc...
International audienceWe introduce here a generalization of the modified Bernstein polynomials for J...
International audienceWe introduce here a generalization of the modified Bernstein polynomials for J...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation ope...