Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method

Naim L. Braha; Toufik Mansour; M. Mursaleen

doi:10.1007/s40840-020-01045-z

Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method

Naim L. Braha, Toufik Mansour, M. Mursaleen

Department of Mathematics

University of Haifa

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

Abstract

In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.

Original language	American English
Pages (from-to)	2005-2019
Number of pages	15
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	44
Issue number	4
DOIs	https://doi.org/10.1007/s40840-020-01045-z
State	Published - Jul 2021

Keywords

A-statistical convergence
Korovkin-type theorem
Modified Meyer–König and Zeller operators
Power series summability method
Rate of convergence
Voronovskaya-type theorem

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s40840-020-01045-z

Cite this

@article{f7d6a51645c14d2abfd13c1e964fb2d6,

title = "Approximation by Modified Meyer–K{\"o}nig and Zeller Operators via Power Series Summability Method",

abstract = "In this paper, we study the Korovkin-type theorem for modified Meyer–K{\"o}nig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gr{\"u}ss–Voronovskaya-type theorems for A-statistical convergence.",

keywords = "A-statistical convergence, Korovkin-type theorem, Modified Meyer–K{\"o}nig and Zeller operators, Power series summability method, Rate of convergence, Voronovskaya-type theorem",

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

note = "Publisher Copyright: {\textcopyright} 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",

year = "2021",

month = jul,

doi = "10.1007/s40840-020-01045-z",

language = "American English",

volume = "44",

pages = "2005--2019",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Singapore",

number = "4",

}

TY - JOUR

T1 - Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method

AU - Braha, Naim L.

AU - Mansour, Toufik

AU - Mursaleen, M.

PY - 2021/7

Y1 - 2021/7

N2 - In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.

AB - In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.

KW - A-statistical convergence

KW - Korovkin-type theorem

KW - Modified Meyer–König and Zeller operators

KW - Power series summability method

KW - Rate of convergence

KW - Voronovskaya-type theorem

UR - http://www.scopus.com/inward/record.url?scp=85095695309&partnerID=8YFLogxK

U2 - 10.1007/s40840-020-01045-z

DO - 10.1007/s40840-020-01045-z

M3 - Article

SN - 0126-6705

VL - 44

SP - 2005

EP - 2019

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 4

ER -

Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this