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On a new type Bernstein-Stancu operators

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the present paper, firstly we obtain a functional differential equation corresponding to new type Bernstein-Stancu operators defined in [8]. Next we introduce some properties of these new type operators. In the end k-th order generalization of such operators is established.
Rocznik
Tom
Strony
119--128
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Ankara University Faculty of Science Department of Mathematics 06100, Tandogan, Ankara, Turkey
  • Tunca Ankara University Faculty of Science Department of Mathematics 06100, Tandogan, Ankara, Turkey
autor
  • Abant izzET Baysal University Faculty of Arts and Sciences Department of Mathematics 14280, Bolu, Turkey
Bibliografia
  • [1] Alkemade J.A.H., The second moment for the Meyer-Konig and Zeller op¬erators, J. Approx. Theory, 40(1984), 261-273.
  • [2] Bernstein S., Demonstration du theoreme de Weierstrass fondee sur le calcul des probabilités, Commun. Soc. Math. Kharkow, 2(13)(1912-13), 1-2.
  • [3] Dogru O., Ozarslan M.A., Tasdelen F., On positive operators involv¬ing a certain class of generating functions, Studia Sci. Math. Hungarica, 41(4)(2004), 415-429.
  • [4] Duman O., Ozarslan M.A., Aktuglu H., Better error estimation for Szasz-Mirakjan-Beta operators, J. Comput. Anal. Appl., 10(1)(2008), 53-59.
  • [5] Erençin A., Bascanbaz-Tunca G., Aproximation properties of a class of linear positive operators in weighted spaces, Cr. Acad. Bulg. Sci., 63 (10)(2010), 1397-1404.
  • [6] Erençin A., Înce H.G., Olgun A., A class of linear positive operators in weighted spaces, (accepted for publication in Mathematica Slovaca).
  • [7] Finta Z., On aproximation by modified Kantorovich polynomials, Math. Balkanica (N.S), 13(1999), 205-211.
  • [8] Gadjiev A.D., Ghorbanalizadeh A.M., Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables, Appl. Math. Comput., 216(2010), 890-901.
  • [9] Kirov G.H., A generalization of the Bernstein polynomials, Math. Balkanica (N.S), 6(1992), 147-153.
  • [10] Kirov G.H., Popova L., A generalization of the linear positive operators, Math. Balkanica (N.S), 7(1993), 149-162.
  • [11] Li Z., Bernstein polynomials and modulus of continuity, J. Approx. Theory, 102(2000), 171-174.
  • [12] May C.P., Saturation and inverse theorems for combinations of a class of exponential-type operators, Canad. J. Math., 28(1976), 1224-1250.
  • [13] Rempulska L., Tomczak K., On certain modified Meyer-Konig and Zeller operators, Turk. J. Math., 30(2006), 117-127.
  • [14] Rempulska L., Skorupka M., Approximating by generalized MKZ-opera- tors in polynomial weighted spaces, Anal. Theory Appl., 23(2007), 64-75.
  • [15] Stancu D.D., Approximation of functions by a new class of linear polynomial operators, Rev. Roumaine Math. Pures Appl., 8(1968), 1173-1194.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-be65c4fd-b9cd-42f0-a54e-4c9a8d4a6db6
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