A note on a general sequence of λ-Szász Kantorovich type operators

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F24%3AA25039GS" target="_blank" >RIV/61988987:17310/24:A25039GS - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/10.1007/s40314-024-02946-6" target="_blank" >https://link.springer.com/10.1007/s40314-024-02946-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40314-024-02946-6" target="_blank" >10.1007/s40314-024-02946-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A note on a general sequence of λ-Szász Kantorovich type operators

Popis výsledku v původním jazyce

In the present manuscript, we study the approximation properties of modified Szász Kantorovich operators with a new modification of blending type which depends on parameters, λ∈[-1,1] and ρ>0. Further, we prove a Korovkin-type approximation theorem and obtain the rate of convergence of these operators. Next, their graphical depiction, error analysis and convergence behaviour of these operators for the different functional spaces are discussed. Moreover, univariate and bivariate version of these sequences of operators are introduced in their respective blocks. Rate of convergence, order of approximation, local approximation, global approximation in terms of weight function and A-statistical approximation results are investigated via first and second-order modulus of smoothness, Lipschitz classes, Peetre’s K-functional in different spaces of functions.

Název v anglickém jazyce

A note on a general sequence of λ-Szász Kantorovich type operators

Popis výsledku anglicky

In the present manuscript, we study the approximation properties of modified Szász Kantorovich operators with a new modification of blending type which depends on parameters, λ∈[-1,1] and ρ>0. Further, we prove a Korovkin-type approximation theorem and obtain the rate of convergence of these operators. Next, their graphical depiction, error analysis and convergence behaviour of these operators for the different functional spaces are discussed. Moreover, univariate and bivariate version of these sequences of operators are introduced in their respective blocks. Rate of convergence, order of approximation, local approximation, global approximation in terms of weight function and A-statistical approximation results are investigated via first and second-order modulus of smoothness, Lipschitz classes, Peetre’s K-functional in different spaces of functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

COMPUTATIONAL & APPLIED MATHEMATICS

ISSN

2238-3603

e-ISSN

1807-0302

Svazek periodika

—

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

BR - Brazilská federativní republika

Počet stran výsledku

20

Strana od-do

—

Kód UT WoS článku

001328588400001

EID výsledku v databázi Scopus

2-s2.0-85205947699