Quadratic function preserving wavelet type Baskakov operators for enhanced function approximation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603BAD" target="_blank" >RIV/61988987:17310/25:A2603BAD - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/10.1007/s40314-025-03357-x" target="_blank" >https://link.springer.com/10.1007/s40314-025-03357-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40314-025-03357-x" target="_blank" >10.1007/s40314-025-03357-x</a>

Result language
angličtina
Original language name
Quadratic function preserving wavelet type Baskakov operators for enhanced function approximation
Original language description
This study introduces the development of wavelet-enhanced King-type Baskakov operators that preserve quadratic test functions. We get explicit formulas for the moments of these operators and demonstrate approximation results by Korovkin-type theorems. The rate of convergence is measured using the modulus of continuity, Lipschitz spaces, and statistical approximation, illustrating improved convergence characteristics. Quantitative error boundaries are established by direct approximation theorems, with numerical validation demonstrating a 20-50% reduction in error for oscillatory functions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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