Approximation and Convergence Analysis of Blending-Type q-Baskakov Operators Using Wavelet Transformations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Approximation and Convergence Analysis of Blending-Type q-Baskakov Operators Using Wavelet Transformations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Approximation and Convergence Analysis of Blending-Type q-Baskakov Operators Using Wavelet Transformations

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Filomat

ISSN

0354-5180

e-ISSN

0354-5180

Svazek periodika

—

Číslo periodika v rámci svazku

31

Stát vydavatele periodika

RS - Srbská republika

Počet stran výsledku

16

Strana od-do

11117-11132

Kód UT WoS článku

001640733200001

EID výsledku v databázi Scopus

2-s2.0-105025460385