Approximation and Convergence Analysis of Blending-Type q-Baskakov Operators Using Wavelet Transformations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603BMK" target="_blank" >RIV/61988987:17310/25:A2603BMK - isvavai.cz</a>
Result on the web
<a href="https://www.pmf.ni.ac.rs/filomat-content/2025/39-31/39-31-12-29148.pdf" target="_blank" >https://www.pmf.ni.ac.rs/filomat-content/2025/39-31/39-31-12-29148.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2298/FIL2531117A" target="_blank" >10.2298/FIL2531117A</a>
Alternative languages
Result language
angličtina
Original language name
Approximation and Convergence Analysis of Blending-Type q-Baskakov Operators Using Wavelet Transformations
Original language description
This paper introduces a new class of blending-type operators constructed by integrating the $q$-Baskakov operators with wavelet-based approximations. Utilizing the Kantorovich modification, we define a family of operators that allows for effective control over approximation properties while enabling smooth blending through wavelet scaling functions. Our analysis focuses on the convergence behavior of these operators in both $L_p$ and $C[0,1]$ spaces, providing detailed error estimates and smoothness properties. We establish the modulus of continuity and convergence rates, highlighting the advantages of the blending-type approach in approximation theory. Numerical examples are provided to illustrate the practical application and accuracy of the proposed operators, particularly in signal and function approximation scenarios.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Filomat
ISSN
0354-5180
e-ISSN
0354-5180
Volume of the periodical
—
Issue of the periodical within the volume
31
Country of publishing house
RS - THE REPUBLIC OF SERBIA
Number of pages
16
Pages from-to
11117-11132
UT code for WoS article
001640733200001
EID of the result in the Scopus database
2-s2.0-105025460385