Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method

Naim L. Braha; Toufik Mansour; Mohammad Mursaleen

doi:10.1007/s11785-024-01510-8

Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method

Naim L. Braha, Toufik Mansour, Mohammad Mursaleen

Department of Mathematics

University of Haifa

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

Abstract

In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov–Schurer–Szász operators using the B-transformation. At the end of the paper we give some illustrative computational examples.

Original language	American English
Article number	71
Journal	Complex Analysis and Operator Theory
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/s11785-024-01510-8
State	Published - Apr 2024

Keywords

40A35
40C15
40G10
41A36
Baskakov–Schurer–Szász operators
Korovkin type theorem
Power series summability method
Rate of convergence
Voronovskaya type theorem

All Science Journal Classification (ASJC) codes

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-024-01510-8

Cite this

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title = "Some Approximation Properties of Parametric Baskakov–Schurer–Sz{\'a}sz Operators Through a Power Series Summability Method",

abstract = "In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Sz{\'a}sz operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov–Schurer–Sz{\'a}sz operators using the B-transformation. At the end of the paper we give some illustrative computational examples.",

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AU - Braha, Naim L.

AU - Mansour, Toufik

AU - Mursaleen, Mohammad

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

PY - 2024/4

Y1 - 2024/4

N2 - In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov–Schurer–Szász operators using the B-transformation. At the end of the paper we give some illustrative computational examples.

AB - In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov–Schurer–Szász operators using the B-transformation. At the end of the paper we give some illustrative computational examples.

KW - 40A35

KW - 40C15

KW - 40G10

KW - 41A36

KW - Baskakov–Schurer–Szász operators

KW - Korovkin type theorem

KW - Power series summability method

KW - Rate of convergence

KW - Voronovskaya type theorem

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DO - 10.1007/s11785-024-01510-8

M3 - Article

SN - 1661-8254

VL - 18

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 3

M1 - 71

ER -

Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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