Modified Lupaş-Jain operators

Author:

Bodur Murat1

Affiliation:

1. Ankara University , Faculty of Science Department of Mathematics , Tandogan 06100 , Ankara , Turkey

Abstract

Abstract The goal of this paper is to propose a modification of Lupaş-Jain operators based on a function ρ having some properties. Primarily, the convergence of given operators in weighted spaces is discussed. Then, order of approximation via weighted modulus of continuity is computed for these operators. Further, Voronovskaya type theorem in quantitative form is taken into consideration, as well. Ultimately, some graphical results that illustrate the convergence of investigated operators to f are given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference27 articles.

1. Abel, U.—Ivan, M.: On a generalization of an approximation operator defined by A. Lupaş, Gen. Math. 15(1) (2007), 21–34.

2. Abel, U.—Agratini, O.: Asymptotic behaviour of Jain operators, Numer. Algorithms 71 (2016), 553–565.

3. Acar, T.: Asymptotic formulas for generalized Szász-Mirakyan operators, Appl. Math. Comput. 263 (2015), 223–239.

4. Acar, T.—Aral, A.—Raşa, I.: Modified Bernstein-Durrmeyer operators, Gen. Math. 22(1) (2014), 27–41.

5. Agratini, O.: On a sequence of linear positive operators, Facta Univ. Ser. Math. Inform. 14 (1999), 41–48.

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