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387287

On statistical approximation properties of q -Baskakov–Szász–Stancu operators

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Last updated: 05 Jan 2025

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Abstract

In the present paper, we consider Stancu type generalization of Baskakov–Szász opera-
tors based on the q -integers and obtain statistical and weighted statistical approximation properties
of these operators. Rates of statistical convergence by means of the modulus of continuity and the
Lipschitz type maximal function are also established for operators.

DOI

10.1016/j.joems.2015.07.005

Keywords

q -integers, q -Baskakov–Szász– Stancu operators, Rate of statistical conver- gence, Modulus of continuity, Lipschitz type maximal functions

Authors

First Name

Vishnu

Last Name

Mishra

MiddleName

Narayan

Affiliation

Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat 395 007, Gujarat, India

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Orcid

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First Name

Preeti

Last Name

Sharma

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-

Affiliation

Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat 395 007, Gujarat, India

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First Name

Lakshmi

Last Name

Mishra

MiddleName

Narayan

Affiliation

L.1627 Awadh Puri Colony Beniganj, Phase-III, Opposite Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad 224 001, Uttar Pradesh, India, Department of Mathematics, National Institute of Technology, Silchar 788 010, Cachar, Assam, India

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Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

396

Page End

401

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 3_Pages 396-401.pdf

PDF . 378.9kB

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https://joems.journals.ekb.eg/article_387287.html

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https://joems.journals.ekb.eg/service?article_code=387287

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387,287

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On statistical approximation properties of q -Baskakov–Szász–Stancu operators

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Article

Created At

21 Dec 2024