Approximation properties of μ -Bernstein–Schurer–Stancu operators

Naim L. Braha; Toufik Mansour

doi:10.1007/s41980-023-00811-6

Approximation properties of μ -Bernstein–Schurer–Stancu operators

Naim L. Braha, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we define a new kind of the μ -Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Grüss–Voronovskaya type theorems.

Original language	American English
Article number	77
Journal	BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
Volume	49
Issue number	6
DOIs	https://doi.org/10.1007/s41980-023-00811-6
State	Published - Dec 2023

Keywords

Grüss–Voronovskaya type theorem
Korovkin type theorem
Modulus of continuity
Modulus of smoothness
Voronovskaya type theorem
μ-Bernstein–Schurer–Stancu operators

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s41980-023-00811-6

Cite this

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title = "Approximation properties of μ -Bernstein–Schurer–Stancu operators",

abstract = "In this paper, we define a new kind of the μ -Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Gr{\"u}ss–Voronovskaya type theorems.",

keywords = "Gr{\"u}ss–Voronovskaya type theorem, Korovkin type theorem, Modulus of continuity, Modulus of smoothness, Voronovskaya type theorem, μ-Bernstein–Schurer–Stancu operators",

author = "Braha, {Naim L.} and Toufik Mansour",

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AU - Mansour, Toufik

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N2 - In this paper, we define a new kind of the μ -Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Grüss–Voronovskaya type theorems.

AB - In this paper, we define a new kind of the μ -Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Grüss–Voronovskaya type theorems.

KW - Grüss–Voronovskaya type theorem

KW - Korovkin type theorem

KW - Modulus of continuity

KW - Modulus of smoothness

KW - Voronovskaya type theorem

KW - μ-Bernstein–Schurer–Stancu operators

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M3 - Article

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JO - BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

JF - BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

IS - 6

M1 - 77

ER -

Approximation properties of μ -Bernstein–Schurer–Stancu operators

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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