Abstract
We prove a sharp upper bound for the 10th central moment of the classical Bernstein polynomials.
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References
Cárdenas-Morales, D.: On the constants in Videnskiĭ type inequalities for Bernstein operators. Results Math. 72, 1437–1448 (2017)
Adell, J.A., Cárdenas-Morales, D.: Quantitative generalized Voronovskaja‘s formulae for Bernstein polynomials. J. Approx. Theory 231, 41–52 (2018)
Păltănea, R., Smuc, M.: Sharp estimates of asymptotic error of approximation by general positive linear operators in terms of the first and the second moduli of continuity. Results Math 74, 70 (2019). https://doi.org/10.1007/s00025-019-0997-8
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The second author is partially supported by Junta de Andalucía Research Group FQM-0178.
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Adell, J.A., Cárdenas-Morales, D. On the 10th Central Moment of the Bernstein Polynomials. Results Math 74, 113 (2019). https://doi.org/10.1007/s00025-019-1038-3
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DOI: https://doi.org/10.1007/s00025-019-1038-3