Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1774 - 1786 2018-12-01

Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials
Üç Boyutlu q-Bernstein-Chlodowsky Polinomları İle Yaklaşım

Nazmiye Gönül Bilgin [1] , Merve ÇETİNKAYA [2]

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In the present paper we introduce positive linear three-dimensional Bernstein-Chlodowsky polynomials on a non-tetrahedron domain and we get their q-analogue. We obtain aproximation properties for these positive linear operators and their generalizations in this work. The rate of convergence of this operators is calculated by means of the modulus of continuity.

 Bu çalışmada düzgün dört yüzlü olmayan bir bölge üzerinde üç boyutlu Bernstein-Chlodowsky polinomlarını ve bu operatörün q-analoğunu tanıtacağız. Bu lineer pozitif operatörlerin yaklaşım özellikleri ve genelleştirmeleri yapılacaktır. Operatörün yakınsaklık hızı süreklilik modülü anlamında hesaplanacaktır.

  • Referans1 G.M.Philips, “On Generalized Bernstein Polynomials”, in Numerical Analysis: D.F. Griffits, G.A. Watson Eds, World Scientific Singapore, pp. 263-269, 1996.
  • Referans2 H. Karsli and V. Gupta, “Some Approximation Properties of q-Chlodowsky Operators”, Applied Mathematics and Computation, vol. 195, pp. 220–229, 2008.
  • Referans3 I. Buyukyazici, “One the Approximation Properties of Two-Dimensional q-Bernstein-Chlodowsky Polynomials”, Mathematical Communications vol. 14, no. 2, pp. 255-269, 2009.
  • Referans4 I. Buyukyazici and E. Ibikli, “The Approximation Properties of Generalized Bernstein-Chlodowsky Polynomials of Two Variables”, Applied Mathematics and Computation vol. 156, pp. 367–380, 2004.
  • Referans5 A.K. Gazanfer, “Weighted Approximation Of Continuous Functions Of Three Variables in a Tetrahedron With Variable Boundary By Bernstein-Chlodowsky Polynomials”, Ph. D. Thesis, Graduate School of Natural and Applied Sciences, Bulent Ecevit Univ., Zonguldak Turkey, 2015.
Birincil Dil en
Konular Matematik
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Nazmiye Gönül Bilgin
Kurum: BÜLENT ECEVİT ÜNİVERSİTESİ
Ülke: Turkey


Yazar: Merve ÇETİNKAYA

Bibtex @araştırma makalesi { saufenbilder348912, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1774 - 1786}, doi = {10.16984/saufenbilder.348912}, title = {Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials}, key = {cite}, author = {Gönül Bilgin, Nazmiye and ÇETİNKAYA, Merve} }
APA Gönül Bilgin, N , ÇETİNKAYA, M . (2018). Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials. Sakarya University Journal of Science, 22 (6), 1774-1786. DOI: 10.16984/saufenbilder.348912
MLA Gönül Bilgin, N , ÇETİNKAYA, M . "Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials". Sakarya University Journal of Science 22 (2018): 1774-1786 <http://www.saujs.sakarya.edu.tr/issue/31266/348912>
Chicago Gönül Bilgin, N , ÇETİNKAYA, M . "Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials". Sakarya University Journal of Science 22 (2018): 1774-1786
RIS TY - JOUR T1 - Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials AU - Nazmiye Gönül Bilgin , Merve ÇETİNKAYA Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.348912 DO - 10.16984/saufenbilder.348912 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1774 EP - 1786 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.348912 UR - http://dx.doi.org/10.16984/saufenbilder.348912 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials %A Nazmiye Gönül Bilgin , Merve ÇETİNKAYA %T Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.348912 %U 10.16984/saufenbilder.348912
ISNAD Gönül Bilgin, Nazmiye , ÇETİNKAYA, Merve . "Üç Boyutlu q-Bernstein-Chlodowsky Polinomları İle Yaklaşım". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1774-1786. http://dx.doi.org/10.16984/saufenbilder.348912