Yazar "Ostrovska, Sofiya" için listeleme
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The continuity in q of the Lupaş q-analogues of the Bernstein operators
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Elsevier, 2024)The Lupas q-analogue Rn,q of the Bernstein operator is the first known q-version of the Bernstein polynomials. It had been proposed by A. Lupas in 1987, but gained the popularity only 20 years later, when q-analogues of ... -
The impact of the limit q-durrmeyer operator on continuous functions
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Springer, 2024)The limit q-Durrmeyer operator, D-infinity,D-q, was introduced and its approximation properties were investigated by Gupta (Appl. Math. Comput. 197(1):172-178, 2008) during a study of q-analogues for the Bernstein-Durrmeyer ... -
On the continuity in q of the family of the limit q-Durrmeyer operators
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (De Gruyter, 2024)This study deals with the one-parameter family {D-q}(q is an element of[0,1]) of Bernstein-type operators introduced by Gupta and called the limit q-Durrmeyer operators. The continuity of this family with respect to the ... -
On the eigenstructure of the modified bernstein operators
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Taylor & Francis Ltd., 2022)Starting from the well-known work of Cooper and Waldron published in 2000, the eigenstructure of various Bernstein-type operators has been investigated by many researchers. In this work, the eigenvalues and eigenvectors ... -
On the image of the lupaş q-analogue of the bernstein operators
Gürel Yılmaz, Övgü; Ostrovska, Sofiya; Turan, Mehmet (Springer Link, 2023)The Lupaş q-analogue, Rn,q , is historically the first known q-version of the Bernstein operator. It has been studied extensively in different aspects by a number of authors during the last decades. In this work, the ... -
On the injectivity with respect to q of the Lupaş q-transform
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Taylor & Francis Ltd., 2023)The Lupas q-transform has first appeared in the study of the Lupas q-analogue of the Bernstein operator. Given 0 < q < 1 and f is an element of C[0, 1], the Lupas q-transform is defined by Lambda(q)(f; x) Pi(infinity)(k=0) ... -
On the rate of convergence for the q-durrmeyer polynomials in complex domains
Gürel, Övgü; Ostrovska, Sofiya; Turan, Mehmet (Walter de Gruyter, 2024)The q-Durrmeyer polynomials are one of the popular q-versions of the classical operators of approximation theory. They have been studied from different points of view by a number of researchers. The aim of this work is to ... -
Shape-preserving properties of the limit q-Durrmeyer operator
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Elsevier, 2024)The present work aims to establish the shape-preserving properties of the limit q-Durrmeyer operator, Dq for 0<q<1. It has been proved that the operator is monotonicity- and convexity-preserving. What is more, it maps a ...
