Research Article

Kantorovich-type operators preserving affine functions

Volume: 45 Number: 6 December 1, 2016
EN

Kantorovich-type operators preserving affine functions

Abstract

Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype which enjoy by the same property. We focus to show that the error of approximation can be smaller than in classical Kantorovich construction on some subintervals of its domain. Special cases are presented.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2016

Submission Date

February 11, 2015

Acceptance Date

February 19, 2016

Published in Issue

Year 2016 Volume: 45 Number: 6

APA
Agratini, O. (2016). Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics, 45(6), 1657-1663. https://izlik.org/JA29ZX47YB
AMA
1.Agratini O. Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1657-1663. https://izlik.org/JA29ZX47YB
Chicago
Agratini, Octavian. 2016. “Kantorovich-Type Operators Preserving Affine Functions”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1657-63. https://izlik.org/JA29ZX47YB.
EndNote
Agratini O (December 1, 2016) Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics 45 6 1657–1663.
IEEE
[1]O. Agratini, “Kantorovich-type operators preserving affine functions”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1657–1663, Dec. 2016, [Online]. Available: https://izlik.org/JA29ZX47YB
ISNAD
Agratini, Octavian. “Kantorovich-Type Operators Preserving Affine Functions”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1657-1663. https://izlik.org/JA29ZX47YB.
JAMA
1.Agratini O. Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics. 2016;45:1657–1663.
MLA
Agratini, Octavian. “Kantorovich-Type Operators Preserving Affine Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, Dec. 2016, pp. 1657-63, https://izlik.org/JA29ZX47YB.
Vancouver
1.Octavian Agratini. Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1657-63. Available from: https://izlik.org/JA29ZX47YB