Yazar "Yılmaz, Övgü Gürel" için Scopus İndeksli Yayınlar Koleksiyonu listeleme
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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 approximation properties of generalized Lupas type operators based on Polya distribution with Pochhammer k-symbol
Yılmaz, Övgü Gürel; Aktaş, Rabia; Taşdelen, Fatma (Hacettepe University, 2022)The purpose of this paper is to introduce a Kantorovich variant of Lupas-Stancu operators based on Polya distribution with Pochhammer k-symbol. We obtain rates of convergence for these operators by means of the classical ... -
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 eigenstructure of the q -Durrmeyer operators
Yılmaz, Övgü Gürel (TUBITAK, 2023)The purpose of this paper is to establish the eigenvalues and the eigenfunctions of both the q -Durrmeyer operators Dn,q and the limit q -Durrmeyer operators D∞,q introduced by V. Gupta in the case 0 < q < 1. All moments ... -
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) ...