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Quadratic function preserving wavelet type Baskakov operators for enhanced function approximation
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DOI：10.1007/s40314-025-03357-x.png)
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Abstract
En 中文
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.
Keywords:
Baskakov polynomials
Wavelet approximation
Modulus of continuity
Korovkin theorem
Polynomial operators
Journal
IF:
4.3
Papers:
354
Citations:
593
Organization
Cited Papers
Pointwise and weighted estimates for Bernstein-Kantorovich type operators including beta function
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