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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
A note on a general sequence of λ-Szász Kantorovich type operators
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)