Research Article

A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials

Volume: 30 Number: 4 December 11, 2017
EN

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

  1. [1] Krech, G., “A note on some positive linear operators associated with the Hermite polynomials’’, Carpathian J. Math., 32 (1): 71-77, (2016).
  2. [2] Szász, O., “Generalization of S. Bernstein’s polynomials to the infinite interval’’, J. Res. Nat. Bur. Stand., 45: 239-245, (1950).
  3. [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. [4] Varma, S., Sucu, S., İçöz, G., “Generalization of Szász operators involving Brenke type polynomials’’, Comput. Math. Appl., 64(2): 121-127, (2012).
  5. [5] Varma, S., Taşdelen, F., “Szász type operators involving Charlier polynomials’’, Mathematical and Computer Modeling, 56: 118-122, (2012).
  6. [6] Atakut, Ç., Büyükyazici, İ., “Stancu type generalization of the Favard Szász operators’’, Appl. Math. Lett., 23(12): 1479-1482, (2010).
  7. [7] Ciupa, A., “A class of integral Favard-Szász type operators’’, Stud. Univ. Babes-Bolyai Math., 40(1): 39-47, (1995).
  8. [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

Authors

Publication Date

December 11, 2017

Submission Date

May 15, 2017

Acceptance Date

October 12, 2017

Published in Issue

Year 2017 Volume: 30 Number: 4

APA
Yazıcı, S., & Çekim, B. (2017). A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science, 30(4), 432-440. https://izlik.org/JA99FC65PM
AMA
1.Yazıcı S, Çekim B. A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science. 2017;30(4):432-440. https://izlik.org/JA99FC65PM
Chicago
Yazıcı, Serdal, and Bayram Çekim. 2017. “A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials”. Gazi University Journal of Science 30 (4): 432-40. https://izlik.org/JA99FC65PM.
EndNote
Yazıcı S, Çekim B (December 1, 2017) A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science 30 4 432–440.
IEEE
[1]S. Yazıcı and B. Çekim, “A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials”, Gazi University Journal of Science, vol. 30, no. 4, pp. 432–440, Dec. 2017, [Online]. Available: https://izlik.org/JA99FC65PM
ISNAD
Yazıcı, Serdal - Çekim, Bayram. “A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials”. Gazi University Journal of Science 30/4 (December 1, 2017): 432-440. https://izlik.org/JA99FC65PM.
JAMA
1.Yazıcı S, Çekim B. A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science. 2017;30:432–440.
MLA
Yazıcı, Serdal, and Bayram Çekim. “A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials”. Gazi University Journal of Science, vol. 30, no. 4, Dec. 2017, pp. 432-40, https://izlik.org/JA99FC65PM.
Vancouver
1.Serdal Yazıcı, Bayram Çekim. A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science [Internet]. 2017 Dec. 1;30(4):432-40. Available from: https://izlik.org/JA99FC65PM