A weighted generalization of Szász-Mirakyan and Butzer operators

DOI10.1007/s00009-014-0413-2zbMath1318.41011OpenAlexW1963764452MaRDI QIDQ2354273

Biancamaria Della Vecchia, Giuseppe Mastroianni, József Szabados

Publication date: 10 July 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0413-2

zbMATH Keywords

weighted modulus of smoothnessdirect and converse resultsweighted \(L^p\) approximationSzász-Mirakyan and Butzer operatorVoronǒvskaya-type relation

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (3)

A summation-integral type modification of Szász-Mirakjan operators ⋮ Some estimations of summation-integral-type operators ⋮ Approximation of functions by Favard-Szász-Mirakyan operators of max-product type in weighted spaces

Cites Work

• Approximation of unbounded functions on unbounded interval
• On the Szász-Mirakian operator
• Generalization of Bernstein's polynomials to the infinite interval
• On the weighted approximation of continuous functions by polynomials on the entire number axis
• On the Extensions of Bernstein Polynomials to the Infinite Interval
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