A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials
Abstract
The purpose of this paper is to give the Kantorovich generalization of the operators via two
variable Hermite polynomials which are introduced by Krech [1] and to research approximating
features with help of the classical modulus of continuity, the class of Lipschitz functions,
Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's
K -
functional for these operators.
Keywords
References
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- [2] Szász, O., “Generalization of S. Bernstein’s polynomials to the infinite interval’’, J. Res. Nat. Bur. Stand., 45: 239-245, (1950).
- [3] Sucu, S., İçöz, G.,Varma, S., “On some extensions of Szász opertors including Boas-Buck type polynomials’’, Abstr. Appl. Anal.,Vol.2012, Article ID 680340: 15 pages, (2012).
- [4] Varma, S., Sucu, S., İçöz, G., “Generalization of Szász operators involving Brenke type polynomials’’, Comput. Math. Appl., 64(2): 121-127, (2012).
- [5] Varma, S., Taşdelen, F., “Szász type operators involving Charlier polynomials’’, Mathematical and Computer Modeling, 56: 118-122, (2012).
- [6] Atakut, Ç., Büyükyazici, İ., “Stancu type generalization of the Favard Szász operators’’, Appl. Math. Lett., 23(12): 1479-1482, (2010).
- [7] Ciupa, A., “A class of integral Favard-Szász type operators’’, Stud. Univ. Babes-Bolyai Math., 40(1): 39-47, (1995).
- [8] Gadzhiev, A. D.,“ The convergence problem for sequence of positive linear operators on unbounded sets and theorem analogues to that of P.P.Korovkin’’, Sov. Math. Dokl., 15(5): 1436-1453, (1974).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 11, 2017
Submission Date
May 15, 2017
Acceptance Date
October 12, 2017
Published in Issue
Year 2017 Volume: 30 Number: 4