Saturation of the Shepard operator

DOI10.1007/BF00114543zbMath0861.41022OpenAlexW1749006696MaRDI QIDQ2563784

Péter Vértesi

Publication date: 11 May 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00114543

zbMATH Keywords

Shepard operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (12)

On Shepard-Gupta-type operators ⋮ Approximation by pseudo-linear operators ⋮ Inequalities for Shepard-type operators ⋮ Rational operators based on \(q\)-integers ⋮ Approximation properties of fuzzy transforms ⋮ Weighted approximation by rational operators ⋮ On weighted approximation by rational operators for functions with singularities ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ Direct and converse results for the weighted rational approximation of functions with inner singularities ⋮ Approximation by shepard type pseudo-linear operators and applications to image processing ⋮ Uniform approximation by Nevai operators ⋮ New results on rational approximation

Cites Work

• Saturation of an interpolatory polynomial operator
• On the method of Somorjai
• On certain rational interpolatory operators
• On certain saturation problems
• Direct and converse results by rational operators
• On a saturation problem
• Approximation by Bernstein Polynomials
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