Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

Valdete Loku; Naim L. Braha; Toufik Mansour; M. Mursaleen

doi:10.1186/s13662-021-03326-8

Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

Valdete Loku, Naim L. Braha, Toufik Mansour, M. Mursaleen

Department of Mathematics

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

Abstract

The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

Original language	English
Article number	165
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03326-8
State	Published - Dec 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Keywords

Kantorovich type generalization
Korovkin type theorem
Power series summability method
Sheffer type polynomials
Szász operators
T-statistical convergence
Vornovskaya type theorem

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/s13662-021-03326-8

Cite this

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title = "Approximation by a power series summability method of Kantorovich type Sz{\'a}sz operators including Sheffer polynomials",

abstract = "The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Sz{\'a}sz–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.",

keywords = "Kantorovich type generalization, Korovkin type theorem, Power series summability method, Sheffer type polynomials, Sz{\'a}sz operators, T-statistical convergence, Vornovskaya type theorem",

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

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AU - Loku, Valdete

AU - Braha, Naim L.

AU - Mansour, Toufik

AU - Mursaleen, M.

PY - 2021/12

Y1 - 2021/12

N2 - The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

AB - The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

KW - Kantorovich type generalization

KW - Korovkin type theorem

KW - Power series summability method

KW - Sheffer type polynomials

KW - Szász operators

KW - T-statistical convergence

KW - Vornovskaya type theorem

UR - https://www.scopus.com/pages/publications/85102461386

U2 - 10.1186/s13662-021-03326-8

DO - 10.1186/s13662-021-03326-8

M3 - Article

AN - SCOPUS:85102461386

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 165

ER -

Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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